If p, q and r are the lengths (in cm) of the sides of a right-angled triangle, then (p-q-r)(q-r-p)(r-p-q) is <strong>ALWAYS</strong>

Explanation

By triangle inequality, r \lt p+q \implies r-p-q \lt 0. Assuming r is the hypotenuse, it is the longest side, so p \lt r \implies p-q-r \lt 0 and q \lt r \implies q-r-p \lt 0. The product of three negative terms is always negative.

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