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CBSE Class 9 Answered

 pqrs is a quadrilateral .a line through s parallel to pr meets qr produced in x show that ar pqrs ={triangle pxq}
Asked by Muralivenkatavarathan | 11 Apr, 2017, 05:55: PM
answered-by-expert Expert Answer

 

ΔPRS and ΔPRX are on the same base PR and between the same parallels as PR is parallel to SX.

So, ar(ΔPRS) = ar(ΔPRX)

On adding ar(ΔPQR) to both sides, we get

ar(ΔPRX) + ar(ΔPQR) = ar(ΔPRS) + ar(ΔPQR)

ar(ΔPQX) = ar(quad. PQRS)

Answered by | 11 Apr, 2017, 06:02: PM

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