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(b) Let \( P \) be a pyramid with triangular base such that the angle at the apex on each face is ...
(b) Let \( P \) be a pyramid with triangular base such that the angle at the apex on each face is a right angle. Suppose that the lengths of the sides of the base are \( a, b, c \). Show how to compute the lengths \( x, y, z \) of the sides from the base to the apex. Determine the lengths for \( a=15, b=16, c=19 \).