2

Part of 1989 Nordic

Problems(1)

3 sides of tetrahedron are right triangles,

Source: Nordic Mathematical Contest 1989 #2

Three sides of a tetrahedron are right-angled triangles having the right angle at their common vertex. The areas of these sides are

A, B

C

. Find the total surface area of the tetrahedron.

geometrytetrahedronarea