Question

ΔABC≅ΔPRQ andAB=5cm,BC=6cm ,AC=7cm, What is the length of QR?

Answer 1

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Step-by-step explanation:

Given, △ABC∼△PQR, as corresponding sides of similar triangles are proportional,

∴

PQ

AB

=

QR

BC

=

RP

CA

=

k

1

(let)

Also, AB=5,BC=6,AC=7 So, PQ=5k,QR=6k,RP=7k

Perimeter of △PQR=PQ+QR+RP

⇒360=5k+6k+7k⇒360=18k⇒k=20

Thus, PQ=5×20=100,QR=6×20=120,RP=7×20=140