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In the Given Figure, Pt ∥ Qr and Qt ∥ Rs. Show That: Area of δPqr = Area of δTqs.*Question Modified - Mathematics

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प्रश्न

In the given figure, PT ∥ QR and QT ∥ RS. Show that: area of ΔPQR = area of ΔTQS.

*Question modified

योग

उत्तर

Joining TR, we get

ΔPQR and ΔQTR are on the same base QR and between the same parallel lines QR and PT.
∴ A(ΔPQR) = A(ΔQTR)  ....(i)
ΔQTR and ΔTQS are on the same base QT and between the same parallel lines QT and RS.
∴ A(ΔQRT) = A(ΔTQS)  ....(ii)
From (i) and (ii), we get
A(ΔPQR) = A(ΔTQS).

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Types of Quadrilaterals
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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 12

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