In the given figure, PQRS is a quadrilateralia<br />which pq= qr and qr=sr. Diagonal PR and qs<br />instersect each other at o.<br />show that<br />i) PQR =PSR<br />ii)POQ =POS
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We know that in any triangle the sum of any two sides is greater than the third side.
In △PQO,PQ+QO>PQ→(1)
In △SOP,SO+PO>PS→(2)
In △SOR,SO+OR>RS→(3)
In △QOR,QO+OR>QR→(4)
Adding equations (1) , (2) , (3) & (4) , we get
2(PO+OQ+SO+OR)>PQ+QR+RS+SP
PQ+QR+RS+SP<2(PQ+OR+SO+OQ)
PQ+QR+RS+SP<2(PR+SQ)
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kamashwarprajapati:
thanks for your support
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