Math, asked by jerinjecko10, 1 month ago

In the figure PS divides QS in the ratio 3:5.
What is the ratio of areas PQS &PSR

Answers

Answered by ansmariyakarukappall
0

Answer:

Correct option is

C

1:

2

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

=

AB

2

PA

2

AB

2

PA

2

=

Areaof△ABC

Areaof△APQ

=

2

1

AB

PA

=

2

1

Therefore, PA:AB = 1:

2

Video Explanation

Solution to Question ID 93391

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