If L, M, equals, 49LM=49, M, N, equals, 56MN=56, L, N, equals, 44LN=44, P, Q, equals, 28PQ=28, and O, Q, equal

Question

If L, M, equals, 49LM=49, M, N, equals, 56MN=56, L, N, equals, 44LN=44, P, Q, equals, 28PQ=28, and O, Q, equals, 22OQ=22, find the perimeter of triangle, O, P, Q△OPQ. Round your answer to the nearest tenth if necessary.

GPT-5 mini · Answer

PQ = 28 = 56/2 and OQ = 22 = 44/2, so O, P, Q are the midpoints of the sides of triangle LMN. The medial triangle OPQ has side lengths half those of LMN: 49/2, 56/2, 44/2. Thus its perimeter is

(49 + 56 + 44)/2 = 149/2 = 74.5.

Answer: 74.5.

If L, M, equals, 49LM=49, M, N, equals, 56MN=56, L, N, equals, 44LN=44, P, Q, equals, 28PQ=28, and O, Q, equals, 22OQ=22, find the perimeter of triangle, O, P, Q△OPQ. Round your answer to the nearest tenth if necessary.

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