Question
Prove that a median divides a triangle into two triangles of equal area.
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Answer
Given: $ABC$ is a triangle in which $AD$ is the median. To prove: $\text{ar}(\triangle\text{ABD})=\text{ar}(\triangle\text{ACD})$Construction:
Draw $\text{AE}\perp\text{BC}$
Draw $\text{AE}\perp\text{BC}$
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