show that the median of a triangle divides it into two triangles of equal in areas
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∆ABD and ∆ADC have the vertex A in common. Hence, the bases BD and DC are equal (as AD is the median). Now, draw a line AE perpendicular to BC, AE ⊥ BC. ... Hence the median of a triangle divides it into two triangles of equal areas.
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Answer:
∆ABD and ∆ADC have the vertex A in common. Hence, the bases BD and DC are equal (as AD is the median). Now, draw a line AE perpendicular to BC, AE ⊥ BC. ... Hence the median of a triangle divides it into two triangles of equal areas.
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