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Question 2In the following figure, D and E are two points on BC such that BD = DE= EC. Showthat area (ABD) = area (ADE) = area (AEC). [Remark: Note that by taking BD=DE=EC, the triangle ABC is divided into three Triangles ABD, ADE and AEC of equal areas. In the same way, by dividing BC into n Equal parts and joining the points of the division so obtained to the opposite vertex of BC, you can divide ΔABC into triangles of equal areas.]

Answer» Question 2

In the following figure, D and E are two points on BC such that BD = DE= EC. Show

that area (ABD) = area (ADE) = area (AEC).





[Remark: Note that by taking BD=DE=EC, the triangle ABC is divided into three Triangles ABD, ADE and AEC of equal areas. In the same way, by dividing BC into n Equal parts and joining the points of the division so obtained to the opposite vertex of BC, you can divide ΔABC into triangles of equal areas.]


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