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freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-138-special-isosceles-triangles.md
Oliver Eyton-Williams ee1e8abd87 feat(curriculum): restore seed + solution to Chinese (#40683)
* feat(tools): add seed/solution restore script

* chore(curriculum): remove empty sections' markers

* chore(curriculum): add seed + solution to Chinese

* chore: remove old formatter

* fix: update getChallenges

parse translated challenges separately, without reference to the source

* chore(curriculum): add dashedName to English

* chore(curriculum): add dashedName to Chinese

* refactor: remove unused challenge property 'name'

* fix: relax dashedName requirement

* fix: stray tag

Remove stray `pre` tag from challenge file.

Signed-off-by: nhcarrigan <nhcarrigan@gmail.com>

Co-authored-by: nhcarrigan <nhcarrigan@gmail.com>
2021-01-12 19:31:00 -07:00

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---
id: 5900f3f61000cf542c50ff09
title: 'Problem 138: Special isosceles triangles'
challengeType: 5
forumTopicId: 301766
dashedName: problem-138-special-isosceles-triangles
---
# --description--
Consider the isosceles triangle with base length, b = 16, and legs, L = 17.
By using the Pythagorean theorem it can be seen that the height of the triangle, h = √(172 82) = 15, which is one less than the base length. With b = 272 and L = 305, we get h = 273, which is one more than the base length, and this is the second smallest isosceles triangle with the property that h = b ± 1. Find ∑ L for the twelve smallest isosceles triangles for which h = b ± 1 and b, L are positive integers.
# --hints--
`euler138()` should return 1118049290473932.
```js
assert.strictEqual(euler138(), 1118049290473932);
```
# --seed--
## --seed-contents--
```js
function euler138() {
return true;
}
euler138();
```
# --solutions--
```js
// solution required
```