--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, $h = \sqrt{{17}^2 − 8^2} = 15$, 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