Q. 175.0( 1 Vote )

In Fig. 4.236, and AP : PB = 1 : 2. Find [CBSE 2008]



Answer :

Given in the given figure PQ || BC and AP: PB = 1: 2


We know that basic proportionality theorem states that if a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then the other two sides are divided in the same ratio.


Since Δ APQ and ΔABC are similar,


Given


PB = 2AP


So,


we know that the ratio of areas of two similar triangles is equal to the square of the ratio of their corresponding sides.




Area (ΔAPB): Area (ΔABC) = 1: 9


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