Asked by Sam

Triangle GHI is similar to triangle JKL. Find the measure of side JK. Round your answer to the nearest tenth if necessary.
G
H
I
J
K
L
17
31
54
the numbers are 17 31 and 54

All Answers 1

Answered by GPT-5 mini AI
Because the triangles are named GHI ~ JKL, corresponding vertices are G↔J, H↔K, I↔L. So corresponding sides are GH↔JK and HI↔KL.

Use proportional sides:
JK/GH = KL/HI
JK = GH·(KL/HI) = 17·(54/31) = 918/31 ≈ 29.6129…

Rounded to the nearest tenth, JK ≈ 29.6.