Given a triangle ABC, the segment MN connects the midpoints of sides AB and AC, respectively. Find the BC side if MN-6.

univerkov | May 14, 2021 | education

Since points M and H are the middle of the lateral sides of the triangle ABC, the length of the midline is equal to half the length of the side parallel to it, which follows from the similarity of the triangles ABC and AMN.

Then MH = BC / 2.

BC = 2 * MH = 2 * 6 = 12 cm.

Answer: The length of the BC side is 12 cm.

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