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@charasyn
Last active September 24, 2020 18:15
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Triangle solver given aspect ratio and hypotenuse length

Triangle solver given aspect ratio and hypotenuse length

This page will help you calculate the side lengths of a triangle given the aspect ratio and the hypotenuse length.

It is useful for calculating the width and height of a computer display.

<!doctype html>
<html>
<head>
<meta charset="utf-8">
<title>Triangle solver given aspect ratio and hypotenuse length</title>
<style>
body {
font-family: 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif;
}
label {
display: block;
width: auto;
text-align: right;
}
button {
display: block;
width: auto;
margin: auto;
}
table {
border: 1px solid black;
}
.inputerror {
color: red;
}
.inputnoerror {
color: black;
}
</style>
</head>
<body>
<p>
Given a right triangle with aspect ratio Ra : Rb and hypotenuse length C,
calculate the side lengths A and B.
</p>
<p>
This can help you calculate a screen's width and height. Put the monitor size (ex. 24") as C,
and the aspect ratio as Ra : Rb (ex. 16:9).
</p>
<table>
<tr><td><label>Ra:</label></td><td><input type="number" class="inputnoerror" onchange="form_update()" id="input_Ra" min="1" value="16"></td></tr>
<tr><td><label>Rb:</label></td><td><input type="number" class="inputnoerror" onchange="form_update()" id="input_Rb" min="1" value="9"></td></tr>
<tr><td><label>C: </label></td><td><input type="number" class="inputnoerror" onchange="form_update()" id="input_C" min="1" value="24"></td></tr>
<tr><td colspan="2"><button onclick="form_update()">Calculate</button></td></tr>
<tr><td><label>A: </label></td><td><input type="number" id="output_A" disabled></td></tr>
<tr><td><label>B: </label></td><td><input type="number" id="output_B" disabled></td></tr>
</table>
<script>
function form_setError(elem, err) {
elem.className = err ? "inputerror" : "inputnoerror";
}
function form_getInputs() {
const input_Ra = document.getElementById('input_Ra');
const input_Rb = document.getElementById('input_Rb');
const input_C = document.getElementById('input_C');
const Ra = parseFloat(input_Ra.value);
const Rb = parseFloat(input_Rb.value);
const C = parseFloat(input_C.value);
let err = false;
if (isNaN(Ra) || Ra <= 0) { form_setError(input_Ra, true); err = true; } else { form_setError(input_Ra, false); }
if (isNaN(Rb) || Rb <= 0) { form_setError(input_Rb, true); err = true; } else { form_setError(input_Rb, false); }
if (isNaN(C) || C <= 0) { form_setError(input_C, true); err = true; } else { form_setError(input_C, false); }
if (err) return undefined;
return {
Ra: Ra,
Rb: Rb,
C: C,
};
}
function form_setOutputs(vals) {
const output_A = document.getElementById('output_A');
const output_B = document.getElementById('output_B');
let A = "";
let B = "";
if (vals) {
A = vals.A;
B = vals.B;
}
output_A.value = A;
output_B.value = B;
}
function form_update() {
const inputs = form_getInputs();
if (!inputs) {
form_setOutputs(undefined);
return;
}
const Ra = inputs.Ra;
const Rb = inputs.Rb;
const C = inputs.C;
const R = Ra/Rb;
const B = C * Math.sqrt(1 / (R*R + 1));
const A = B*R;
form_setOutputs({
A: Math.round(A * 1000) / 1000,
B: Math.round(B * 1000) / 1000,
});
}
form_update();
</script>
</body>
</html>
MIT License
Copyright (c) 2020 Cooper Harasyn
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
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