Question

∆ABC ~ ∆PQR, AB:PQ=3:4 find A(∆PQR): A(∆ABC)​

Answer 1

Answer:

16/9

Step-by-step explanation:

Ratio of area of similar triangles is equal to ratio of square of their sides

So, A(∆PQR):A(∆ABC)=(4/3)^2=16/9

Answer 2

Answer:

16:9

Step-by-step explanation:

Area of the given triangle is,

= ar(∆PQR)/ar(∆ABC)

= (PQ/AB)²

( ACCORDING TO THEOREM 6.6, The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides)

= (4/3)²

= 16/9

Therefore, ratio = 16:9

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