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एफबी ट्रायंगल पी क्यू आर पी क्यू इज इक्वल टू 5 दिन |
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Answer» 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
= 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. |
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