2018-09-30 23:01:58 +01:00
|
|
|
---
|
|
|
|
id: 5900f4841000cf542c50ff96
|
|
|
|
title: 'Problem 279: Triangles with integral sides and an integral angle'
|
2020-11-27 19:02:05 +01:00
|
|
|
challengeType: 5
|
2019-08-05 09:17:33 -07:00
|
|
|
forumTopicId: 301929
|
2021-01-13 03:31:00 +01:00
|
|
|
dashedName: problem-279-triangles-with-integral-sides-and-an-integral-angle
|
2018-09-30 23:01:58 +01:00
|
|
|
---
|
|
|
|
|
2020-11-27 19:02:05 +01:00
|
|
|
# --description--
|
2018-09-30 23:01:58 +01:00
|
|
|
|
2020-11-27 19:02:05 +01:00
|
|
|
How many triangles are there with integral sides, at least one integral angle (measured in degrees), and a perimeter that does not exceed 108?
|
2018-09-30 23:01:58 +01:00
|
|
|
|
2020-11-27 19:02:05 +01:00
|
|
|
# --hints--
|
2018-09-30 23:01:58 +01:00
|
|
|
|
2020-11-27 19:02:05 +01:00
|
|
|
`euler279()` should return 416577688.
|
2018-09-30 23:01:58 +01:00
|
|
|
|
2020-11-27 19:02:05 +01:00
|
|
|
```js
|
|
|
|
assert.strictEqual(euler279(), 416577688);
|
2018-09-30 23:01:58 +01:00
|
|
|
```
|
|
|
|
|
2020-11-27 19:02:05 +01:00
|
|
|
# --seed--
|
2018-09-30 23:01:58 +01:00
|
|
|
|
2020-11-27 19:02:05 +01:00
|
|
|
## --seed-contents--
|
2018-09-30 23:01:58 +01:00
|
|
|
|
|
|
|
```js
|
|
|
|
function euler279() {
|
2020-09-15 09:57:40 -07:00
|
|
|
|
2018-09-30 23:01:58 +01:00
|
|
|
return true;
|
|
|
|
}
|
|
|
|
|
|
|
|
euler279();
|
|
|
|
```
|
|
|
|
|
2020-11-27 19:02:05 +01:00
|
|
|
# --solutions--
|
2018-09-30 23:01:58 +01:00
|
|
|
|
|
|
|
```js
|
|
|
|
// solution required
|
|
|
|
```
|