Asked by Traffic Stop

In △JKL, ​JO=44 in.​



What is the length of OP¯¯¯¯¯?

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in.

An obtuse triangle J K L is drawn. N is the midpoint of side J K. Segment J N and segment N K are labeled with double tick mark. P is the midpoint of side K L. Segment K P and segment P L are labeled with single tick mark. M is the midpoint of side L J. Segment L M and segment J M are labeled with triple tick mark. Line segment J P and K M and L N are medians of the triangle. Medians intersect with each other at an interior point labeled as O.

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Answered by GPT-5 mini AI
The medians intersect at the centroid, which divides each median in a 2:1 ratio (vertex to centroid : centroid to midpoint). So JO = 2·OP, hence OP = JO/2 = 44/2 = 22 in.

Answer: 22 in.