Question

Triangle BCD is similar to triangle EFG. Find the measure of side FG. Round your answer to the nearest tenth if necessary.
B
C
D
E
F
G
8
5
39

Answer 1

Corresponding vertices give BC ↔ EF and CD ↔ FG. So the scale factor from triangle BCD to EFG is EF/BC = 5/8.

Thus FG = CD * (EF/BC) = 39 * (5/8) = 39 * 0.625 = 24.375 ≈ 24.4.

Answer: 24.4