Question

4. ∆ABC ~ PQR. If AB : PQ=4:5,
find A(∆ABC): A(∆PQR

please answer this question​

Answer 1

Given :- ∆ABC ~ ∆PQR

AB:PQ = 4:5

To Find = ar(∆ABC):ar(∆PQR)

Proof :- $\frac{ar(∆ABC ) }{ar(∆PQR)} = \frac{ {AB}^{2} }{ {PQ}^{2} }$

$= \frac{ {(4)}^{2} }{ {(5)}^{2} }$

$= \frac{16}{25}$

Hence, ar(∆ABC):ar(∆PQR) = 16:25

hope it helps ☺️