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freeCodeCamp/curriculum/challenges/english/08-coding-interview-prep/project-euler/problem-138-special-isosceles-triangles.english.md
Valeriy 79d9012432 fix(curriculum): quotes in tests (#18828)
* fix(curriculum): tests quotes

* fix(curriculum): fill seed-teardown

* fix(curriculum): fix tests and remove unneeded seed-teardown
2018-10-20 23:32:47 +05:30

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id, challengeType, title
id challengeType title
5900f3f61000cf542c50ff09 5 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.

Instructions

Tests

tests:
  - text: <code>euler138()</code> should return 1118049290473932.
    testString: assert.strictEqual(euler138(), 1118049290473932, '<code>euler138()</code> should return 1118049290473932.');

Challenge Seed

function euler138() {
  // Good luck!
  return true;
}

euler138();

Solution

// solution required