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ll J till, make a right triangle2: POR is a triangle right angles at P and M is theQ.mid point of QR S.T PM L QR, Show that PM2 0MxMRSol. |
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Answer» InΔQMP andΔQPR <QMP =<QPR (EACH = 90 degree) <Q =<Q (COMMON)⇒ ΔQMP SIMILARΔQPR ....(1) (AA similarity) Again inΔPMR andΔQPR, <PMR = <QPR (EACH = 90 degree) <R = < R (COMMON)⇒ ΔRMP similarΔQPR .......(2) (AA similarity)From (1) and (2) we get ΔQMP similarΔPMRTherefore, The corresponding sides are proportional QM/PM = PM/RM⇒ QM.RM= PM. PM (BY CROSS-MULTIPLICATION)⇒ PM² = QM.RM |
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