if the given figure,if PQR=45,then prove than OP1OR
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Step-by-step explanation:
construct PN perpendicular to QR
in triangle PNQ, angle Q=45
so QN=PN
RHS=PQ²+QR²-4*areaPQR
=PN²+QN²+(QN+NR)²-4*0.5*QR*PN
=2PN²+PN²+NR²+2*PN*NR-2*QR*PN
=2PN²+PR²+2PN.NR-2(PN+NR)*PN
=2PN²-2PN²+2PN*NR-2PN*NR+PR²
=PR²=LHS
proved.
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