Question

In triangle ABC AD is median.If A=(5,-3) D=(1,9) then find the centroid of triangle
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Answer 1

Answer:

ABC is the triangle and O the centroid. Let AO produced meet BC in D. The Area of the triangles ABD = Area of triangle ACD.

(Reason CD=BD and same altitude and Area =

2

1

×base×altitude)

Similarly, Area EBD = Area ECD. Subtracting i.e

Area ABD - Area EBD = Area ACD - Area ECD which implies Area ABE = Area ACE