Triangles ABC and PQR are similar with m angle A = m angle P and m angle B = m angle Q. If AB, BC, and AC are 3, 4, and 5 ft long respectively and QR is 10 ft, find PQ.

Question

Triangles ABC and PQR are similar with m angle A = m angle P and m angle B = m angle Q.  If AB, BC, and AC are 3, 4, and 5 ft long respectively and QR is 10 ft, find PQ.

Henry · Answer

AB/PQ = BC/QR, 3/PQ = 4/10, 4PQ = 30, PQ = 7.5t.