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Question

In parallelogram ABCD. P is mid-point of AB. CP and BD intersect each other at point O. If area of ΔPOB=40cm2, find a if OC:OP=a:2.

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Solution

Join PD in the above figure.
It is given that in a parallelogram ABCD. P is the midpoint of AB. CP and BD intersects at each other at point O and we know that the corresponding sides of a parallelogram are proportional , therefore,

ΔPOBΔCOD

Since P is the midpoint of AB thus,

PBCP=OPOC

OPOC=12

OPOC=1:2

407366_196344_ans.jpg

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