Q. 53.8( 6 Votes )

In ΔABC and ΔPQR, ABC QPR is a similarity. The perimeter of AABC is 15 and perimeter of ΔPQR is 27. If BC = 7 and QR = 9, find PR and AC.

Answer :

Given, In ABC and PQR, ABCQPR is a similarity

The perimeter of ABC is 15 and perimeter of PQR is 27


And BC = 7 and QR = 9


AB + BC + CA = 15


AB + 7 + CA = 15


AB + CA = 8 ...... (i)


PQ + QR + RP = 27


PQ + 9 + RP = 27


PQ + RP = 18 ...... (ii)


Due to similarity



Hence,




PR =


PR = 14.4


Hence,



AC =


AC = 5


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