Question

If JK=31, KI = 40, and NL=12, find the length of ‾MN‾. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.

Answer 1

MN = 15.5 units

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The triangles are similar since all three angles are equal on both.

We know corresponding sides of similar triangles are proportional.

Set up proportions and find the missing side length:

• MN/KJ = NL/JK
• MN/40 = 12/31
• MN = 40*12/31
• MN = 15.4838 ≈ 15.5