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In the Given Figure, St ∥ Pr. Prove That: Area of Quadrilateral Pqrs = Area of δPqt. - Mathematics

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प्रश्न

In the given figure, ST ∥ PR. Prove that: area of quadrilateral PQRS = area of ΔPQT.

योग
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उत्तर

We have,
A(ΔPSR) = A(ΔPTR)
(Triangle on the same base PR and between the same parallel lines PR and ST)
Adding A(ΔPQR) on both sides, we get
A(ΔPSR) + A(ΔPQR) = A(ΔPTR) + A(ΔPQR)
⇒ A(Quadrilateral PQRS) = A(ΔPQT).

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अध्याय 21: Areas Theorems on Parallelograms - Exercise 21.1

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फ्रैंक Mathematics [English] Class 9 ICSE
अध्याय 21 Areas Theorems on Parallelograms
Exercise 21.1 | Q 6
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