Question

If triangle ABC triangle PQR and AB : PQ= 2:3 then fill in the blanks A(∆ABC) =AB2 =22=? \ A(∆PQR) =? =32=?​

Answer 1

Answer:

Given:

∆ABC ~ ∆PQR

AB : PQ = 2 : 3

According to theorem of areas of similar triangles "When two triangles are similar, the ratio of areas of those triangles is equal to the ratio of the squares of their corresponding sides"

this is the answer

Answer 2

Given :

ΔABC∼ΔPQR

AB:PQ=2:3 According to theorem of areas of similar triangles "When two triangles are similar, the ratio of areas of those triangles is equal to the ratio of the square of their corresponding sides''.

∴

A(ΔPQR)

A(ΔABC)

= PQ 2 AB 2 = 3 2

2 2 = 94