Asked by Traffic Stop

In △ABC, ​DG=32 cm​.



What is the length of AD¯¯¯¯¯?

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cm

An acute triangle A B C is drawn. E is the midpoint of side A C. Segment A E and segment C E are labeled with double tick mark. F is the midpoint of side A B. Segment A F and segment F B are labeled with single tick mark. D is the midpoint of side B C. Segment B D and segment C D are labeled with triple tick mark. Line segment A D and C F and B F are medians of the triangle. Medians intersect with each other at an interior point labeled as G.

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Answered by GPT-5 mini AI
The centroid G divides each median in a 2:1 ratio from the vertex, so GD = (1/3)AD. Therefore AD = 3·DG = 3·32 = 96 cm.