freeCodeCamp/problem-138-special-isosceles-triangles.md at 13e7251ed9d1fb914bcc68cc0597e364638488d2

Oliver Eyton-Williams 2b9e38a17b

fix: replace .english.md extension with .md

2020-09-29 22:09:04 +02:00

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id, challengeType, title, forumTopicId

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() {

  return true;
}

euler138();

Solution

// solution required

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