2018-10-10 18:03:03 -04:00
|
|
|
|
---
|
|
|
|
|
id: 5900f3f61000cf542c50ff09
|
2020-12-16 00:37:30 -07:00
|
|
|
|
title: 问题138:特殊的等腰三角形
|
2018-10-10 18:03:03 -04:00
|
|
|
|
challengeType: 5
|
|
|
|
|
videoUrl: ''
|
2021-01-13 03:31:00 +01:00
|
|
|
|
dashedName: problem-138-special-isosceles-triangles
|
2018-10-10 18:03:03 -04:00
|
|
|
|
---
|
|
|
|
|
|
2020-12-16 00:37:30 -07:00
|
|
|
|
# --description--
|
2018-10-10 18:03:03 -04:00
|
|
|
|
|
2020-12-16 00:37:30 -07:00
|
|
|
|
考虑具有基本长度,b = 16和腿,L = 17的等腰三角形。
|
2018-10-10 18:03:03 -04:00
|
|
|
|
|
2020-12-16 00:37:30 -07:00
|
|
|
|
通过使用毕达哥拉斯定理,可以看出三角形的高度h =√(172-82)= 15,比基本长度小1。当b = 272且L = 305时,我们得到h = 273,这比基本长度多一个,这是第二个最小的等腰三角形,具有h = b±1的性质。找到12个最小等腰的ΣL h = b±1且b,L为正整数的三角形。
|
2018-10-10 18:03:03 -04:00
|
|
|
|
|
2020-12-16 00:37:30 -07:00
|
|
|
|
# --hints--
|
2018-10-10 18:03:03 -04:00
|
|
|
|
|
2020-12-16 00:37:30 -07:00
|
|
|
|
`euler138()`应该返回1118049290473932。
|
2018-10-10 18:03:03 -04:00
|
|
|
|
|
|
|
|
|
```js
|
2020-12-16 00:37:30 -07:00
|
|
|
|
assert.strictEqual(euler138(), 1118049290473932);
|
2018-10-10 18:03:03 -04:00
|
|
|
|
```
|
|
|
|
|
|
2021-01-13 03:31:00 +01:00
|
|
|
|
# --seed--
|
|
|
|
|
|
|
|
|
|
## --seed-contents--
|
|
|
|
|
|
|
|
|
|
```js
|
|
|
|
|
function euler138() {
|
|
|
|
|
|
|
|
|
|
return true;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
euler138();
|
|
|
|
|
```
|
|
|
|
|
|
2020-12-16 00:37:30 -07:00
|
|
|
|
# --solutions--
|
2020-08-13 17:24:35 +02:00
|
|
|
|
|
2021-01-13 03:31:00 +01:00
|
|
|
|
```js
|
|
|
|
|
// solution required
|
|
|
|
|
```
|