import type { TriangleDiagramProps } from "@/widgets/generators/triangle-diagram"
// Valid examples for the Triangle Diagram widget
export const triangleDiagramExamples: TriangleDiagramProps[] = [
// Reworked example using constraint-first v2 schema
{
type: "triangleDiagram",
width: 462,
height: 300,
points: {
A: { id: "pt_tri_A", label: "A" },
B: { id: "pt_tri_B", label: "B" },
C: { id: "pt_tri_C", label: "C" }
},
extraPoints: [{ id: "pt_tri_D", label: "D" }],
lines: [["pt_tri_D", "pt_tri_A", "pt_tri_C"]],
angleArcs: [
{
vertex: "pt_tri_A",
from: "pt_tri_D",
to: "pt_tri_B",
value: { type: "numeric", value: 114 },
color: "#1fab54",
showArc: true,
showLabel: true
},
{
vertex: "pt_tri_B",
from: "pt_tri_A",
to: "pt_tri_C",
value: { type: "numeric", value: 56 },
color: "#11accd",
showArc: true,
showLabel: true
},
{
vertex: "pt_tri_C",
from: "pt_tri_A",
to: "pt_tri_B",
value: { type: "symbolic", symbol: "x" },
color: "#7854ab",
showArc: true,
showLabel: true
}
],
sideLabels: { AB: null, BC: null, CA: null },
constructionLines: null,
rightAngleMarks: null,
altitudes: null
},
// Exterior helper with dashed perpendicular reference at left of base
{
type: "triangleDiagram",
width: 462,
height: 300,
points: {
A: { id: "pt_tri_A10", label: "A" },
B: { id: "pt_tri_B10", label: "B" },
C: { id: "pt_tri_C10", label: "C" }
},
extraPoints: [{ id: "pt_tri_D10", label: "D" }],
// Place D on the base line to the left of B; draw dashed helper lines
lines: [["pt_tri_D10", "pt_tri_B10", "pt_tri_C10"]],
constructionLines: [
{ points: ["pt_tri_D10", "pt_tri_A10"], style: "dashed" },
{ points: ["pt_tri_D10", "pt_tri_B10"], style: "dashed" }
],
rightAngleMarks: [
{ vertex: "pt_tri_D10", from: "pt_tri_A10", to: "pt_tri_B10", size: null }
],
angleArcs: [
{
vertex: "pt_tri_A10",
from: "pt_tri_B10",
to: "pt_tri_C10",
value: { type: "numeric", value: 41 },
color: "#11accd",
showArc: true,
showLabel: true
},
{
vertex: "pt_tri_C10",
from: "pt_tri_A10",
to: "pt_tri_B10",
value: { type: "numeric", value: 28 },
color: "#1fab54",
showArc: true,
showLabel: true
},
{
vertex: "pt_tri_B10",
from: "pt_tri_C10",
to: "pt_tri_A10",
value: { type: "symbolic", symbol: "x" },
color: "#7854ab",
showArc: true,
showLabel: true
}
],
sideLabels: {
AB: { type: "symbolic", symbol: "B" },
BC: { type: "symbolic", symbol: "C" },
CA: { type: "symbolic", symbol: "A" }
},
altitudes: null
},
// Right triangle with top horizontal (A), right vertical (B) and dashed segment to right vertex
{
type: "triangleDiagram",
width: 462,
height: 300,
points: {
A: { id: "pt_tri_A11", label: "A" },
B: { id: "pt_tri_B11", label: "B" },
C: { id: "pt_tri_C11", label: "C" }
},
extraPoints: [{ id: "pt_tri_D11", label: "D" }],
// Put D on hypotenuse AC; draw dashed from D to the right-angle vertex B
lines: [["pt_tri_A11", "pt_tri_D11", "pt_tri_C11"]],
constructionLines: [
{ points: ["pt_tri_D11", "pt_tri_B11"], style: "dashed" }
],
rightAngleMarks: [
{ vertex: "pt_tri_B11", from: "pt_tri_A11", to: "pt_tri_C11", size: null }
],
angleArcs: [
{
vertex: "pt_tri_A11",
from: "pt_tri_B11",
to: "pt_tri_C11",
value: { type: "numeric", value: 30 },
color: "#11accd",
showArc: true,
showLabel: true
},
{
vertex: "pt_tri_C11",
from: "pt_tri_A11",
to: "pt_tri_B11",
value: { type: "numeric", value: 60 },
color: "#1fab54",
showArc: true,
showLabel: true
},
{
vertex: "pt_tri_B11",
from: "pt_tri_A11",
to: "pt_tri_C11",
value: { type: "symbolic", symbol: "x" },
color: "#7854ab",
showArc: true,
showLabel: true
}
],
sideLabels: {
AB: { type: "symbolic", symbol: "A" },
BC: { type: "symbolic", symbol: "B" },
CA: { type: "symbolic", symbol: "C" }
},
altitudes: null
},
// New example: B = 69°, C = 66°, exterior at A is x°
{
type: "triangleDiagram",
width: 462,
height: 300,
points: {
A: { id: "pt_tri_A2", label: "A" },
B: { id: "pt_tri_B2", label: "B" },
C: { id: "pt_tri_C2", label: "C" }
},
extraPoints: [{ id: "pt_tri_D2", label: "D" }],
lines: [["pt_tri_D2", "pt_tri_A2", "pt_tri_C2"]],
angleArcs: [
{
vertex: "pt_tri_B2",
from: "pt_tri_A2",
to: "pt_tri_C2",
value: { type: "numeric", value: 69 },
color: "#7854ab",
showArc: true,
showLabel: true
},
{
vertex: "pt_tri_C2",
from: "pt_tri_A2",
to: "pt_tri_B2",
value: { type: "numeric", value: 66 },
color: "#11accd",
showArc: true,
showLabel: true
},
{
vertex: "pt_tri_A2",
from: "pt_tri_D2",
to: "pt_tri_B2",
value: { type: "symbolic", symbol: "x" },
color: "#1fab54",
showArc: true,
showLabel: true
}
],
sideLabels: { AB: null, BC: null, CA: null },
constructionLines: null,
rightAngleMarks: null,
altitudes: null
},
// New example 3: angled quadrilateral-like with 48°, 23°, and exterior x° at left top
{
type: "triangleDiagram",
width: 462,
height: 300,
points: {
A: { id: "pt_tri_A3", label: "A" },
B: { id: "pt_tri_B3", label: "B" },
C: { id: "pt_tri_C3", label: "C" }
},
extraPoints: [{ id: "pt_tri_D3", label: "D" }],
lines: [["pt_tri_D3", "pt_tri_A3", "pt_tri_C3"]],
angleArcs: [
{
vertex: "pt_tri_C3",
from: "pt_tri_A3",
to: "pt_tri_B3",
value: { type: "numeric", value: 23 },
color: "#11accd",
showArc: true,
showLabel: true
},
{
vertex: "pt_tri_A3",
from: "pt_tri_B3",
to: "pt_tri_C3",
value: { type: "numeric", value: 48 },
color: "#11accd",
showArc: true,
showLabel: true
},
{
vertex: "pt_tri_A3",
from: "pt_tri_D3",
to: "pt_tri_B3",
value: { type: "symbolic", symbol: "x" },
color: "#1fab54",
showArc: true,
showLabel: true
}
],
sideLabels: { AB: null, BC: null, CA: null },
constructionLines: null,
rightAngleMarks: null,
altitudes: null
},
// Interior-angle triangle (from first image): interior at A + C given, solve interior at left-top as x
{
type: "triangleDiagram",
width: 462,
height: 300,
points: {
A: { id: "pt_tri_A4", label: "A" },
B: { id: "pt_tri_B4", label: "B" },
C: { id: "pt_tri_C4", label: "C" }
},
angleArcs: [
{
vertex: "pt_tri_A4",
from: "pt_tri_B4",
to: "pt_tri_C4",
value: { type: "numeric", value: 48 },
color: "#11accd",
showArc: true,
showLabel: true
},
{
vertex: "pt_tri_C4",
from: "pt_tri_A4",
to: "pt_tri_B4",
value: { type: "numeric", value: 23 },
color: "#1fab54",
showArc: true,
showLabel: true
},
{
vertex: "pt_tri_B4",
from: "pt_tri_C4",
to: "pt_tri_A4",
value: { type: "symbolic", symbol: "x" },
color: "#7854ab",
showArc: true,
showLabel: true
}
],
sideLabels: { AB: null, BC: null, CA: null },
constructionLines: null,
extraPoints: null,
lines: null,
rightAngleMarks: null,
altitudes: null
},
// Interior-angle triangle (second image): given 21° at left, 125° at top, find x at right
{
type: "triangleDiagram",
width: 462,
height: 300,
points: {
A: { id: "pt_tri_A5", label: "A" },
B: { id: "pt_tri_B5", label: "B" },
C: { id: "pt_tri_C5", label: "C" }
},
angleArcs: [
{
vertex: "pt_tri_A5",
from: "pt_tri_B5",
to: "pt_tri_C5",
value: { type: "numeric", value: 21 },
color: "#11accd",
showArc: true,
showLabel: true
},
{
vertex: "pt_tri_B5",
from: "pt_tri_A5",
to: "pt_tri_C5",
value: { type: "numeric", value: 125 },
color: "#1fab54",
showArc: true,
showLabel: true
},
{
vertex: "pt_tri_C5",
from: "pt_tri_B5",
to: "pt_tri_A5",
value: { type: "symbolic", symbol: "x" },
color: "#7854ab",
showArc: true,
showLabel: true
}
],
sideLabels: { AB: null, BC: null, CA: null },
constructionLines: null,
extraPoints: null,
lines: null,
rightAngleMarks: null,
altitudes: null
},
// Right triangle with numeric side (third image): legs 3 and x, hypotenuse 5
{
type: "triangleDiagram",
width: 462,
height: 300,
points: {
A: { id: "pt_tri_A6", label: "A" },
B: { id: "pt_tri_B6", label: "B" },
C: { id: "pt_tri_C6", label: "C" }
},
angleArcs: [
{
vertex: "pt_tri_B6",
from: "pt_tri_A6",
to: "pt_tri_C6",
value: { type: "numeric", value: 37 },
color: "#11accd",
showArc: true,
showLabel: true
},
{
vertex: "pt_tri_C6",
from: "pt_tri_B6",
to: "pt_tri_A6",
value: { type: "numeric", value: 53 },
color: "#1fab54",
showArc: true,
showLabel: true
},
{
vertex: "pt_tri_A6",
from: "pt_tri_B6",
to: "pt_tri_C6",
value: { type: "symbolic", symbol: "x" },
color: "#7854ab",
showArc: true,
showLabel: true
}
],
sideLabels: {
AB: { type: "numeric", value: 3 },
BC: { type: "numeric", value: 5 },
CA: { type: "symbolic", symbol: "x" }
},
constructionLines: null,
extraPoints: null,
lines: null,
rightAngleMarks: null,
altitudes: [
// Height from the left vertical leg to the hypotenuse is 8 in the image,
// but our A,B,C positions are synthetic; we provide an altitude from A to BC.
{
vertex: "pt_tri_A6",
toSide: "BC",
value: { type: "numeric", value: 8 },
style: "dashed",
color: "#777777",
withRightAngle: true
}
]
},
// Isosceles-like (fifth image): equal sides 3.3 with base angle 39°, opposite angle 39°, ask interior x
{
type: "triangleDiagram",
width: 462,
height: 300,
points: {
A: { id: "pt_tri_A7", label: "A" },
B: { id: "pt_tri_B7", label: "B" },
C: { id: "pt_tri_C7", label: "C" }
},
angleArcs: [
{
vertex: "pt_tri_A7",
from: "pt_tri_B7",
to: "pt_tri_C7",
value: { type: "numeric", value: 39 },
color: "#11accd",
showArc: true,
showLabel: true
},
{
vertex: "pt_tri_C7",
from: "pt_tri_B7",
to: "pt_tri_A7",
value: { type: "numeric", value: 39 },
color: "#1fab54",
showArc: true,
showLabel: true
},
{
vertex: "pt_tri_B7",
from: "pt_tri_A7",
to: "pt_tri_C7",
value: { type: "symbolic", symbol: "x" },
color: "#7854ab",
showArc: true,
showLabel: true
}
],
sideLabels: {
AB: { type: "numeric", value: 3.3 },
BC: { type: "numeric", value: 5.1 },
CA: { type: "numeric", value: 3.3 }
},
constructionLines: null,
extraPoints: null,
lines: null,
rightAngleMarks: null,
altitudes: [
// Drop height from the right vertical to the base CA (value 21 per image)
{
vertex: "pt_tri_B7",
toSide: "CA",
value: { type: "numeric", value: 21 },
style: "dashed",
color: "#777777",
withRightAngle: true
}
]
},
// New: MathML side labels on slanted sides, base numeric, interior altitude with symbolic label x
{
type: "triangleDiagram",
width: 462,
height: 300,
points: {
A: { id: "pt_tri_A8", label: "A" },
B: { id: "pt_tri_B8", label: "B" },
C: { id: "pt_tri_C8", label: "C" }
},
angleArcs: [
// Provide two numeric interior angles so geometry is derivable
{
vertex: "pt_tri_A8",
from: "pt_tri_B8",
to: "pt_tri_C8",
value: { type: "numeric", value: 35 },
color: "#11accd",
showArc: true,
showLabel: true
},
{
vertex: "pt_tri_B8",
from: "pt_tri_C8",
to: "pt_tri_A8",
value: { type: "numeric", value: 35 },
color: "#1fab54",
showArc: true,
showLabel: true
},
{
vertex: "pt_tri_C8",
from: "pt_tri_B8",
to: "pt_tri_A8",
value: { type: "symbolic", symbol: "x" },
color: "#7854ab",
showArc: true,
showLabel: true
}
],
sideLabels: {
AB: { type: "numeric", value: 8 },
BC: {
type: "mathml",
mathml: "20",
value: 4.47213595499958
},
CA: {
type: "mathml",
mathml: "20",
value: 4.47213595499958
}
},
constructionLines: null,
extraPoints: null,
lines: null,
rightAngleMarks: null,
altitudes: [
{
vertex: "pt_tri_C8",
toSide: "AB",
value: null,
style: "dashed",
color: "#777777",
withRightAngle: true
}
]
},
// New: MathML side labels on slanted sides, known altitude 3 and base symbolic x
{
type: "triangleDiagram",
width: 462,
height: 300,
points: {
A: { id: "pt_tri_A9", label: "A" },
B: { id: "pt_tri_B9", label: "B" },
C: { id: "pt_tri_C9", label: "C" }
},
angleArcs: [
{
vertex: "pt_tri_A9",
from: "pt_tri_B9",
to: "pt_tri_C9",
value: { type: "numeric", value: 40 },
color: "#11accd",
showArc: true,
showLabel: true
},
{
vertex: "pt_tri_B9",
from: "pt_tri_C9",
to: "pt_tri_A9",
value: { type: "numeric", value: 40 },
color: "#1fab54",
showArc: true,
showLabel: true
},
{
vertex: "pt_tri_C9",
from: "pt_tri_B9",
to: "pt_tri_A9",
value: { type: "symbolic", symbol: "x" },
color: "#7854ab",
showArc: true,
showLabel: true
}
],
sideLabels: {
AB: { type: "symbolic", symbol: "x" },
BC: {
type: "mathml",
mathml: "45",
value: 6.70820393249937
},
CA: {
type: "mathml",
mathml: "45",
value: 6.70820393249937
}
},
constructionLines: null,
extraPoints: null,
lines: null,
rightAngleMarks: null,
altitudes: [
{
vertex: "pt_tri_C9",
toSide: "AB",
value: { type: "numeric", value: 3 },
style: "dashed",
color: "#777777",
withRightAngle: true
}
]
},
{
type: "triangleDiagram",
lines: [["pt_tri_C", "pt_tri_A", "pt_tri_D"]],
width: 462,
height: 300,
points: {
A: {
id: "pt_tri_A",
label: "A"
},
B: {
id: "pt_tri_B",
label: "B"
},
C: {
id: "pt_tri_C",
label: "C"
}
},
altitudes: null,
angleArcs: [
{
to: "pt_tri_B",
from: "pt_tri_D",
color: "#1fab54",
value: {
type: "numeric",
value: 123
},
vertex: "pt_tri_A",
showArc: true,
showLabel: true
},
{
to: "pt_tri_C",
from: "pt_tri_A",
color: "#7854ab",
value: {
type: "numeric",
value: 58
},
vertex: "pt_tri_B",
showArc: true,
showLabel: true
},
{
to: "pt_tri_A",
from: "pt_tri_B",
color: "#11accd",
value: {
type: "symbolic",
symbol: "x"
},
vertex: "pt_tri_C",
showArc: true,
showLabel: true
}
],
sideLabels: null,
extraPoints: [
{
id: "pt_tri_D",
label: "D"
}
],
rightAngleMarks: null,
constructionLines: [
{
style: "solid",
points: ["pt_tri_C", "pt_tri_A", "pt_tri_D"]
}
]
},
{
type: "triangleDiagram",
lines: [["pt_tri_d", "pt_tri_a", "pt_tri_c"]],
width: 462,
height: 300,
points: {
A: {
id: "pt_tri_a",
label: "A"
},
B: {
id: "pt_tri_b",
label: "B"
},
C: {
id: "pt_tri_c",
label: "C"
}
},
altitudes: null,
angleArcs: [
{
to: "pt_tri_b",
from: "pt_tri_d",
color: "#1fab54",
value: {
type: "numeric",
value: 114
},
vertex: "pt_tri_a",
showArc: true,
showLabel: true
},
{
to: "pt_tri_c",
from: "pt_tri_a",
color: "#7854ab",
value: {
type: "numeric",
value: 56
},
vertex: "pt_tri_b",
showArc: true,
showLabel: true
},
{
to: "pt_tri_a",
from: "pt_tri_b",
color: "#11accd",
value: {
type: "symbolic",
symbol: "x"
},
vertex: "pt_tri_c",
showArc: true,
showLabel: true
}
],
sideLabels: null,
extraPoints: [
{
id: "pt_tri_d",
label: "D"
}
],
rightAngleMarks: null,
constructionLines: [
{
style: "solid",
points: ["pt_tri_d", "pt_tri_a"]
}
]
},
{
type: "triangleDiagram",
lines: [["pt_tri_D", "pt_tri_A", "pt_tri_C"]],
width: 462,
height: 300,
points: {
A: {
id: "pt_tri_A",
label: "A"
},
B: {
id: "pt_tri_B",
label: "B"
},
C: {
id: "pt_tri_C",
label: "C"
}
},
altitudes: null,
angleArcs: [
{
to: "pt_tri_B",
from: "pt_tri_D",
color: "#e07d10",
value: {
type: "numeric",
value: 116
},
vertex: "pt_tri_A",
showArc: true,
showLabel: true
},
{
to: "pt_tri_C",
from: "pt_tri_A",
color: "#7854ab",
value: {
type: "symbolic",
symbol: "x"
},
vertex: "pt_tri_B",
showArc: true,
showLabel: true
},
{
to: "pt_tri_A",
from: "pt_tri_B",
color: "#11accd",
value: {
type: "numeric",
value: 60
},
vertex: "pt_tri_C",
showArc: true,
showLabel: true
}
],
sideLabels: null,
extraPoints: [
{
id: "pt_tri_D",
label: "D"
}
],
rightAngleMarks: null,
constructionLines: [
{
style: "solid",
points: ["pt_tri_D", "pt_tri_C"]
}
]
},
{
type: "triangleDiagram",
lines: [["pt_tri_D1", "pt_tri_A1", "pt_tri_C1"]],
width: 462,
height: 300,
points: {
A: {
id: "pt_tri_A1",
label: "A"
},
B: {
id: "pt_tri_B1",
label: "B"
},
C: {
id: "pt_tri_C1",
label: "C"
}
},
altitudes: null,
angleArcs: [
{
to: "pt_tri_C1",
from: "pt_tri_A1",
color: "#7854ab",
value: {
type: "numeric",
value: 69
},
vertex: "pt_tri_B1",
showArc: true,
showLabel: true
},
{
to: "pt_tri_A1",
from: "pt_tri_B1",
color: "#11accd",
value: {
type: "numeric",
value: 66
},
vertex: "pt_tri_C1",
showArc: true,
showLabel: true
},
{
to: "pt_tri_B1",
from: "pt_tri_D1",
color: "#e07d10",
value: {
type: "symbolic",
symbol: "x"
},
vertex: "pt_tri_A1",
showArc: true,
showLabel: true
}
],
sideLabels: null,
extraPoints: [
{
id: "pt_tri_D1",
label: "D"
}
],
rightAngleMarks: null,
constructionLines: null
},
{
type: "triangleDiagram",
lines: [["pt_tri_d", "pt_tri_a", "pt_tri_c"]],
width: 462,
height: 300,
points: {
A: {
id: "pt_tri_a",
label: "A"
},
B: {
id: "pt_tri_b",
label: "B"
},
C: {
id: "pt_tri_c",
label: "C"
}
},
altitudes: null,
angleArcs: [
{
to: "pt_tri_c",
from: "pt_tri_a",
color: "#7854ab",
value: {
type: "numeric",
value: 68
},
vertex: "pt_tri_b",
showArc: true,
showLabel: true
},
{
to: "pt_tri_a",
from: "pt_tri_b",
color: "#11accd",
value: {
type: "numeric",
value: 70
},
vertex: "pt_tri_c",
showArc: true,
showLabel: true
},
{
to: "pt_tri_b",
from: "pt_tri_d",
color: "#1fab54",
value: {
type: "symbolic",
symbol: "x"
},
vertex: "pt_tri_a",
showArc: true,
showLabel: true
}
],
sideLabels: null,
extraPoints: [
{
id: "pt_tri_d",
label: "D"
}
],
rightAngleMarks: null,
constructionLines: [
{
style: "solid",
points: ["pt_tri_d", "pt_tri_a"]
}
]
},
{
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