Question

∆ABC~∆PQR. If AB:PQ=3:4 and the perimeter of ∆PQR is 24, find the perimeter of ∆ABC.​

Answer 1

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