9. AABC - APQR. If AB = 4 cm, BC = 3 cm, CA = 7 cm and PR = 2 cm, then the perimeter of APQR is: (a) 2 cm (b) 4 cm 3-9 (c) 14 cm (d) 7 cm
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Step-by-step explanation:
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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