If K, L, equals, 19KL=19, L, M, equals, 14LM=14, K, M, equals, 10KM=10, O, P, equals, 21OP=21, and N, P, equal

Question

If K, L, equals, 19KL=19, L, M, equals, 14LM=14, K, M, equals, 10KM=10, O, P, equals, 21OP=21, and N, P, equals, 15NP=15, find the perimeter of triangle, N, O, P△NOP. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.

GPT-5 mini · Answer

Assuming triangles KLM and NOP are similar with K↔N, L↔O, M↔P, the scale factor is OP/LM = 21/14 = 3/2 (check: NP/KM = 15/10 = 3/2). Thus NO = KL * 3/2 = 19*(3/2) = 28.5. The perimeter is 21 + 15 + 28.5 = 64.5.

If K, L, equals, 19KL=19, L, M, equals, 14LM=14, K, M, equals, 10KM=10, O, P, equals, 21OP=21, and N, P, equals, 15NP=15, find the perimeter of triangle, N, O, P△NOP. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.

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