Question

given triangle ABC similar to triangle PQR if AB/PQ is equal to 1/3 then area of triangle ABC /PQR

Answer 1

GIVEN:
ΔABC ~ Δ PQR & AB/PQ = 1/3
ar(ΔABC)/ar( Δ PQR )= AB²/ PQ²
[The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.]
ar(ΔABC)/ar( Δ PQR ) = 1²/3²
[Given =AB/PQ = ⅓]
ar(ΔABC)/ar( Δ PQR ) = 1/9
Hence, the Area of ΔABC/Area of ΔPQR = 1/9

HOPE THIS WILL HELP YOU….

Answer 2

Solution :-

Given that Δ ABC ~ Δ PQR

And, 

AB/PQ = 1/3

We know that the ratio of two similar triangles is equal to the ratio of the squares of their corresponding sides.

Then,

Area of Δ ABc/Area of Δ PQR = (AB)²/(PQ)²

⇒ (1)²/(3)²

= 1/9

So, Area of triangle ABC/Area of triangle PQR is 1/9

Answer.