2018-10-10 18:03:03 -04:00
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---
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id: 5900f4881000cf542c50ff9a
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2020-12-16 00:37:30 -07:00
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title: 问题283:面积*周长比为整数的整数边三角形
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2018-10-10 18:03:03 -04:00
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challengeType: 5
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videoUrl: ''
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2021-01-13 03:31:00 +01:00
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dashedName: >-
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problem-283-integer-sided-triangles-for-which-the-area--perimeter-ratio-is-integral
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2018-10-10 18:03:03 -04:00
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---
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2020-12-16 00:37:30 -07:00
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# --description--
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2020-02-18 01:40:55 +09:00
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考虑具有边6、8和10的三角形。可以看出,周长和面积都等于24。
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2020-12-16 00:37:30 -07:00
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2020-02-18 01:40:55 +09:00
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因此面积/周长比等于1。
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2020-12-16 00:37:30 -07:00
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2020-02-18 01:40:55 +09:00
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还要考虑具有边13、14和15的三角形。周长等于42,而面积等于84。
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2020-12-16 00:37:30 -07:00
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因此,对于该三角形,面积/周长比等于2。
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2020-02-18 01:40:55 +09:00
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求出面积/周长比等于不超过1000的正整数的所有整数边三角形的周长总和。
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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# --hints--
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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`euler283()`应该返回28038042525570324。
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2018-10-10 18:03:03 -04:00
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```js
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2020-12-16 00:37:30 -07:00
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assert.strictEqual(euler283(), 28038042525570324);
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2018-10-10 18:03:03 -04:00
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```
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2021-01-13 03:31:00 +01:00
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# --seed--
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## --seed-contents--
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```js
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function euler283() {
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return true;
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}
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euler283();
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```
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2020-12-16 00:37:30 -07:00
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# --solutions--
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2020-08-13 17:24:35 +02:00
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2021-01-13 03:31:00 +01:00
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```js
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// solution required
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```
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