202 lines
5.5 KiB
TypeScript
202 lines
5.5 KiB
TypeScript
import React, { useState, useRef } from "react";
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const SimilarityWidget: React.FC = () => {
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const [ratio, setRatio] = useState(0.5); // Position of D along AB (0 to 1)
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const isDragging = useRef(false);
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const svgRef = useRef<SVGSVGElement>(null);
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// Triangle Vertices
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const A = { x: 200, y: 50 };
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const B = { x: 50, y: 300 };
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const C = { x: 350, y: 300 };
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// Calculate D and E based on ratio
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const D = {
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x: A.x + (B.x - A.x) * ratio,
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y: A.y + (B.y - A.y) * ratio,
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};
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const E = {
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x: A.x + (C.x - A.x) * ratio,
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y: A.y + (C.y - A.y) * ratio,
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};
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const handleInteraction = (clientY: number) => {
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if (!svgRef.current) return;
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const rect = svgRef.current.getBoundingClientRect();
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const y = clientY - rect.top;
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// Clamp y between A.y and B.y
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const clampedY = Math.max(A.y, Math.min(B.y, y));
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// Calculate new ratio
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const newRatio = (clampedY - A.y) / (B.y - A.y);
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setRatio(Math.max(0.1, Math.min(0.9, newRatio))); // clamp to avoid degenerate
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};
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const handleMouseDown = (e: React.MouseEvent) => {
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isDragging.current = true;
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handleInteraction(e.clientY);
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};
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const handleMouseMove = (e: React.MouseEvent) => {
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if (isDragging.current) {
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handleInteraction(e.clientY);
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}
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};
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return (
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<div className="bg-white p-6 rounded-xl shadow-lg border border-slate-200 flex flex-col md:flex-row items-center gap-8">
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<svg
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ref={svgRef}
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width="400"
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height="350"
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className="select-none cursor-ns-resize"
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onMouseDown={handleMouseDown}
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onMouseMove={handleMouseMove}
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onMouseUp={() => (isDragging.current = false)}
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onMouseLeave={() => (isDragging.current = false)}
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>
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{/* Main Triangle */}
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<path
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d={`M ${A.x} ${A.y} L ${B.x} ${B.y} L ${C.x} ${C.y} Z`}
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fill="none"
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stroke="#e2e8f0"
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strokeWidth="2"
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/>
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{/* Filled Top Triangle (Similar) */}
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<path
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d={`M ${A.x} ${A.y} L ${D.x} ${D.y} L ${E.x} ${E.y} Z`}
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fill="rgba(244, 63, 94, 0.1)"
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stroke="none"
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/>
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{/* Parallel Line DE */}
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<line
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x1={D.x}
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y1={D.y}
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x2={E.x}
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y2={E.y}
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stroke="#e11d48"
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strokeWidth="3"
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/>
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{/* Labels */}
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<text
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x={A.x}
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y={A.y - 10}
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textAnchor="middle"
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fontWeight="bold"
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fill="#64748b"
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>
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A
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</text>
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<text
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x={B.x - 10}
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y={B.y}
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textAnchor="end"
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fontWeight="bold"
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fill="#64748b"
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>
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B
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</text>
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<text
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x={C.x + 10}
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y={C.y}
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textAnchor="start"
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fontWeight="bold"
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fill="#64748b"
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>
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C
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</text>
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<text
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x={D.x - 10}
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y={D.y}
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textAnchor="end"
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fontWeight="bold"
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fill="#e11d48"
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>
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D
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</text>
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<text
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x={E.x + 10}
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y={E.y}
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textAnchor="start"
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fontWeight="bold"
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fill="#e11d48"
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>
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E
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</text>
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{/* Drag Handle */}
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<circle
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cx={D.x}
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cy={D.y}
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r="6"
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fill="#e11d48"
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stroke="white"
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strokeWidth="2"
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/>
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<circle
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cx={E.x}
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cy={E.y}
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r="6"
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fill="#e11d48"
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stroke="white"
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strokeWidth="2"
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/>
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</svg>
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<div className="flex-1 w-full">
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<h3 className="text-lg font-bold text-slate-800 mb-4">
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Triangle Proportionality
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</h3>
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<p className="text-sm text-slate-500 mb-6">
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Drag the red line. Because DE || BC, the small triangle is similar to
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the large triangle.
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</p>
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<div className="space-y-4">
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<div className="bg-slate-50 p-4 rounded-lg border-l-4 border-rose-500">
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<p className="text-xs font-bold text-slate-400 uppercase mb-1">
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Scale Factor
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</p>
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<p className="font-mono text-xl text-rose-700">
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{ratio.toFixed(2)}
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</p>
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</div>
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<div className="bg-white border border-slate-200 p-4 rounded-lg shadow-sm">
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<p className="font-mono text-sm mb-2 text-slate-600">
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Corresponding Sides Ratio:
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</p>
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<div className="flex items-center justify-between font-mono font-bold text-lg">
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<div className="text-rose-600">AD / AB</div>
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<div className="text-slate-400">=</div>
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<div className="text-rose-600">AE / AC</div>
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<div className="text-slate-400">=</div>
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<div className="text-rose-600">{ratio.toFixed(2)}</div>
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</div>
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</div>
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<div className="bg-white border border-slate-200 p-4 rounded-lg shadow-sm">
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<p className="font-mono text-sm mb-2 text-slate-600">
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Area Ratio (k²):
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</p>
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<div className="flex items-center justify-between font-mono font-bold text-lg">
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<div className="text-rose-600">Area(ADE)</div>
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<div className="text-slate-400">/</div>
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<div className="text-slate-600">Area(ABC)</div>
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<div className="text-slate-400">=</div>
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<div className="text-rose-600">{(ratio * ratio).toFixed(2)}</div>
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</div>
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</div>
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</div>
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</div>
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</div>
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);
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};
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export default SimilarityWidget;
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