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A line makes angles A, B, C, D with four diagonals of a cube, then find value of Cos^2 A + Cos^2 B + Cos^2 C + Cos^2 D

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A line makes angles A, B, C, D with four diagonals of a cube, then find value of Cos^2 A + Cos^2 B + Cos^2 C + Cos^2 D
posted Apr 7, 2018 by anonymous

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If a, b, c and d are distinct pairwise co-prime positive integers such that a^2 + b^2 = c^2 + d^2, find the lowest possible value of a + b + c + d?

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If

a+b=8,
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c-d=6

Then

a, b, c, d  = ??
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