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Challenge 310: A Particular Pyramid

VABC is a triangular -based pyramid, with triangle ABC as the base.

VA = a cm, VB = b cm and VC = c cm, and additionally the faces VAB, VBC and VCA are all right-angled at V.

Find the area of the base ABC in terms of a, b and c.

Find a set of integer values for a, b and c for which this area is also an integer.

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