Question

If ΔABC~ΔPQR and AB:PQ=2:3, then fill in the blanks. A(ΔABC)/A(ΔPQR)= AB²/....=2²/3²= ....../.......

Answer 1

this is your answer brother

Answer 2

Answer:

$\frac{ar(ABC)}{ar(PQR)} =\frac{AB^{2}}{PQ^{2}}=\frac{2^{2}}{3^{2}}=\frac{4}{9}$

Step-by-step explanation:

In the question,

We know that ΔABC ≈ ΔPQR (Similar)

and, we have also been given that,

AB:PQ = 2:3

So, as the triangles are similar we can say that,

$\frac{ar(ABC)}{ar(PQR)} =\frac{AB^{2}}{PQ^{2}}$

Because, the ratio of the area of two similar triangles is equal to the ratio of the squares of their sides.

Therefore,

This incomplete equation can be written as,

$\frac{ar(ABC)}{ar(PQR)} =\frac{AB^{2}}{PQ^{2}}=\frac{2^{2}}{3^{2}}=\frac{4}{9}$