Q. 323.7( 9 Votes )

A triangle PQR is

Answer :

Let PQ and PR touch the circle at points S and U respectively. Join O with P, Q, R, S and U



We have OS = OT = OU = 6cm


QT = 12 cm and TR = 9cm


QR= QT +TR = 12cm + 9cm = 21 cm


Now QT = QS=12 cm (tangent from the same point)


TR =RU=9cm


Let PS =PU =x cm


Then PQ=PS+SQ- (12 + x)cm and PR = PU+RU= (9+x)cm


It is clear that



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