45 lines
828 B
Markdown
45 lines
828 B
Markdown
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---
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id: 5900f4de1000cf542c50fff1
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title: 'Problem 370: Geometric triangles'
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challengeType: 5
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forumTopicId: 302032
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dashedName: problem-370-geometric-triangles
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---
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# --description--
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Let us define a geometric triangle as an integer sided triangle with sides a ≤ b ≤ c so that its sides form a geometric progression, i.e. b2 = a · c .
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An example of such a geometric triangle is the triangle with sides a = 144, b = 156 and c = 169.
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There are 861805 geometric triangles with perimeter ≤ 106 .
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How many geometric triangles exist with perimeter ≤ 2.5·1013 ?
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# --hints--
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`euler370()` should return 41791929448408.
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```js
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assert.strictEqual(euler370(), 41791929448408);
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```
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# --seed--
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## --seed-contents--
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```js
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function euler370() {
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return true;
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}
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euler370();
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```
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# --solutions--
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```js
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// solution required
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```
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