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id	challengeType	title	forumTopicId
5900f3f61000cf542c50ff09	5	Problem 138: Special isosceles triangles	301766

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);

Challenge Seed

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

euler138();

Solution

// solution required

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