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in a triangle ABC, D and E are points on sides AB and AC such tat DE is paraLlel to BC. BE and CD intersect at a point O.if the area of triangles ADE and ODE are 3 and 1 respectively, find the area of triangle ABC.

in a triangle ABC, D and E are points on sides AB and AC such tat DE is paraLlel to  BC. BE and CD intersect at a point O.if the area of triangles ADE and ODE are 3 and 1 respectively, find the area of triangle ABC.

Grade:11

1 Answers

Aman Bansal
592 Points
13 years ago

dear ash ram,

according to the conditions given in your question triangle ODE is similar to the triangle ADE . THUS THEIR AREA WILL BE IN PROPORTION TI 1:3. AND ALSO TRIANGLE ADE IS SIMILAR TO THE TRIANGLR ABC THUS ITS AREA WILL ALSO BE IN SOME PROPORTION THATS WHY ITS AREA WILL BE 9 sq. UNITS.

ANS=9

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