47 lines
811 B
Markdown
47 lines
811 B
Markdown
---
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id: 5900f4e11000cf542c50fff4
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title: 'Problem 373: Circumscribed Circles'
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challengeType: 5
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forumTopicId: 302035
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dashedName: problem-373-circumscribed-circles
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---
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# --description--
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Every triangle has a circumscribed circle that goes through the three vertices.
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Consider all integer sided triangles for which the radius of the circumscribed circle is integral as well.
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Let S(n) be the sum of the radii of the circumscribed circles of all such triangles for which the radius does not exceed n.
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S(100)=4950 and S(1200)=1653605.
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Find S(107).
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# --hints--
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`euler373()` should return 727227472448913.
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```js
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assert.strictEqual(euler373(), 727227472448913);
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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 euler373() {
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return true;
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}
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euler373();
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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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