Question

given triangle ABC is similar to triangle pqr if a b upon PQ equal to 1 by 3 then find area of triangle ABC upon Triangle pqr

Answer 1

Solution :-

Given that the Δ ABC is similar to the Δ PQR

And,

AB/PQ = 1/3

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

So, 

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

⇒ (1)²/(3)²

⇒ 1/9

So, Area of Δ ABC/Area of Δ PQR = 1/9

Answer.

Answer 2

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….