Question

एफबी ट्रायंगल पी क्यू आर पी क्यू इज इक्वल टू 5 दिन​

Answer 1

Answer:

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 their sides in case of similar triangles.

Therefore,

Areaof△ABC

Areaof△APQ

=

AB

2

PA

2

or,

AB

2

PA

2

=

Areaof△ABC

Areaof△APQ

=

2

1

or

AB

PA

=

2

1

Therefore, PA : AB = 1:

2

The ratio of the areas of two similar triangles is equal to the ratio of the square of their corresponding sides.