Question

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Answer 1

Answer: 26.4 units

Step-by-step explanation: You could use SOC CAH TOA, but I prefer to use scale factors in congruent triangles.

1. Find congruent side ex. OM and LJ

2. Divide OM/LJ, you get 1.2

3. Multiply side LK by 1.2 to get your answer.

Ask if you want further explanation!

Answer 2

Because these triangles have the same angle measurements, we can conclude that they are similar triangles (AAA)

We can calculate the scale factor : k = NM/KJ = 32.4/27 = 1.2

-> NO = KL x 1.2 = 22 x 1.2 = 26.4

-> The perimeter of triangle MNO = 26.4 + 32.4 + 24 = 82.8