freeCodeCamp/problem-138-special-isosceles-triangles.english.md at 22afc2a0ca354a1eb11919c51058918d7e953e22

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mrugesh 22afc2a0ca feat(learn): python certification projects (#38216 )

Co-authored-by: Oliver Eyton-Williams <ojeytonwilliams@gmail.com>
Co-authored-by: Kristofer Koishigawa <scissorsneedfoodtoo@gmail.com>
Co-authored-by: Beau Carnes <beaucarnes@gmail.com>

2020-05-27 13:19:08 +05:30

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id, challengeType, isHidden, title, forumTopicId

id	challengeType	isHidden	title	forumTopicId
5900f3f61000cf542c50ff09	5	false	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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