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id	title	challengeType	forumTopicId	dashedName
5900f3f61000cf542c50ff09	Problem 138: Special isosceles triangles	5	301766	problem-138-special-isosceles-triangles

--description--

Consider the isosceles triangle with base length, b = 16, and legs, L = 17.

isosceles triangle with edges named as L - two edges with the same length and base of the triangle as b; and height of the triangle - h from the base of the triangle to the angle between L edges

By using the Pythagorean theorem, it can be seen that the height of the triangle, h = \sqrt{{17}^2 − 8^2} = 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 \sum{L} for the twelve smallest isosceles triangles for which h = b ± 1 and b, L are positive integers.

--hints--

isoscelesTriangles() should return 1118049290473932.

assert.strictEqual(isoscelesTriangles(), 1118049290473932);

--seed--

--seed-contents--

function isoscelesTriangles() {

  return true;
}

isoscelesTriangles();

--solutions--

// solution required

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