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Line from Vertex Divides the Length of Opposite Side and Area

Points E, F, ...

Question

Points E, F, and G divide the sides QP, RQ, and PR of an equilateral triangle PQR in the ratio 1:2 respectively. Find the area of triangle EFG (in square units), if the area of triangle PQR is 120 square units.

A

60

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B

40

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C

35

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D

30

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Solution

The correct option is B 40

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Q. Points E, F, and G divide the sides QP, RQ, and PR of an equilateral triangle in the ratio 1:2 respectively. Find the area of triangle PQR (in sq. units), if the area of triangle EFG is 40 sq units.

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