A triangle PQR is drawn to circumscribe a circle with radius 8cm such that segment QT and TR, into which QR is divided by the point of contact T, are of lenghts 14cm and 16cm rerespectively. If are of PQR triangle is 336sq.cm, find the sides PQ and PR.
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Answered by
95
triangle PQR circumscribes the circle of radius 8 cm
take center of circle as O
join PO,QO,RO.and OD,OE,OT
D and E are points on PQ and PR
ar of triangle POQ+ar tri. QOR+ar tri. POR=336
take height as 8 cm, PQ=14+a, PR=16+a,QR=14+16=30
find value of a
solve the eqn. formed answer- PQ=12+14=26
PR=12+16=28
take center of circle as O
join PO,QO,RO.and OD,OE,OT
D and E are points on PQ and PR
ar of triangle POQ+ar tri. QOR+ar tri. POR=336
take height as 8 cm, PQ=14+a, PR=16+a,QR=14+16=30
find value of a
solve the eqn. formed answer- PQ=12+14=26
PR=12+16=28
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