Question

If ΔABC~ΔPQR, area of ΔABC=32cm^2 and the area of ΔPQR=48cm^2,side=6cm,then find the length of AC​

Answer 1

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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