Question

given triangle ABC COGURENT TO triangle PQR if AB/PQ =1/3 then find area ABC/PQR

Answer 1

this is the answer.

Answer 2

Answer:

The ratio of area of two triangles is 1:9  

Step-by-step explanation:

Given ΔABC≅ΔPQR and

$\frac{AB}{PQ}=\frac{1}{3}$

$\text{we have to find }\frac{ar(ABC)}{ar(PQR)}$

As given two triangles are congruent i.e two triangles are similar

By theorem on similar triangles

The ratio of area of two similar triangles equals to the ratio of squares of their corresponding sides.

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

⇒ $\frac{ar(ABC)}{ar(PQR)}=\frac{1^2}{3^2}=\frac{1}{9}$

The ratio of area of two triangles is 1:9