Math, asked by 2020shreetax, 1 day ago

in the given figure P and Q are points on sides AB and AC respectively of a triangle ABC,PQBC and divides the triangle ABC into 2parts, equal in area, the ratio of PA:PB=​

Answers

Answered by annusharma91442
1

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

Answered by kgarg7615
1

Answer:

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Step-by-step explanation:

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