Question

In the given figure,P and Q are Points on sides AB and AC respectively of a ∆ABC. PQ||BC and divides the ∆ABC into 2 equal Parts in area . The ratio of PA:PB =​

Answer 1

Answer:

1: √2

Explanation:

Given that Area of the Δ APQ = Area of PQCB

That means Area Δ ABC = 2 Area of Δ APQ

Since PQ ∥ BC

Therefore, Δ APQ is similar to Δ ABC

We know that ratio of the areas of two triangles is equal to the square of ratio of their sides in case of similar triangles.

Therefore,

Areaof△ABC

Areaof△APQ

Answer 2

The answer is attached below...

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