Question

Triangle GHI is similar to triangle JKL. Find the measure of side LJ. Round your answer to the nearest tenth if necessary.
G
H
I
J
K
L
49
23
23

Answer 1

I don’t have the diagram, so I’m missing which sides correspond and which sides are 49 and 23. Could you either upload the picture or tell me:

- which vertices correspond between the triangles (for example G↔J, H↔K, I↔L), and
- which side(s) are 49 and 23 (for example GH = 49, JK = 23, HI = 23, etc.)?

Then I’ll compute LJ (JL) and show the steps.

If you meant G↔J, H↔K, I↔L and GH = 49, JK = 23, and GI = 23, then the scale factor is 23/49 and
JL = GI × (23/49) = 23 × (23/49) ≈ 10.8.