Question

Triangle DEF is similar to triangle GHI. Find the measure of side GH. Round your answer to the nearest tenth if necessary.
D
E
F
G
H
I
the numbers are 20 39 and 11

Answer 1

When triangles are named in the same order, corresponding vertices match: DE ↔ GH, EF ↔ HI, DF ↔ GI. So GH/DE = HI/EF.

Using EF = 39, HI = 11, and DE = 20:
GH/20 = 11/39 → GH = 20*(11/39) = 220/39 ≈ 5.641.

Rounded to the nearest tenth, GH = 5.6.