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If vertex A of triangle ABC is (3,5) an...

If vertex A of triangle ABC is `(3,5)` and centroid is `(-1,2)`, then find the midpoint of side BC.

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To find the midpoint of side BC in triangle ABC given vertex A and the centroid, we can follow these steps: ### Step 1: Understand the relationship between the centroid and the vertices of the triangle. The centroid (G) of a triangle divides each median in the ratio 2:1. If D is the midpoint of side BC, then the line segment AD (the median) is divided by G in the ratio 2:1. ### Step 2: Assign coordinates. Let: - Vertex A = (3, 5) ...
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