Question

Given that ∆ ∆ ABC PQR ~ and ar( ABC) 16 = . ar( PQR) =25 ∆ ∆ If AB = 20 cm, then PQ is equal to​

Answer 1

Step-by-step explanation:

Given : triangle ABC~POR

in which ar (ABC)=16

and at(PQR) = 25 and AB=20

ATQ by Thales theroem

we get

ar(ABC)/ar(PQR)=AB^2/PQ^2

16/25=400/PQ^2

PQ^2=400×25/16

PQ^2=625

PQ= 25

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