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# project-euler/138/138-analysis.txt

+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.