∆ABC~∆PQR. If AB:PQ=3:4 and the perimeter of ∆PQR is 24, find the perimeter of ∆ABC.
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Answer:
Perimeter of △ABC=32 cm
Perimeter of △PQR=48 cm
PR=6 cm
To find AC
Since, the ratio of perimeter of two similar △ s is same as ratio of corresponding sides
∴
Perimeter of △PQR
Perimeter of △ABC
=
PQ
AB
=
QR
BC
=
RP
CA
⇒
Perimeter (△PQR)
Perimeter (△ABC)
=
PR
AC
⇒
48
32
=
6
AC
⇒
48
32×6
=AC
⇒
4 cm=AC
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