Question

if triangle ABC is similar to triangle PQR and if ratio of AB and PQ is 1:3 then find ration of area of triangle ABC and triangle PQR

Answer 1

Hey,

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 IT HELPS YOU:-))

Answer 2

$\bold{hope \: it \: helps \: you \:}$