Question

The ratio of corresponding sides of similar triangles is 3:5 then find the ratio of their areas

Answer 1

Let the corresponding sides of similar triangle be S1 and S2 , and Areas be A1 and A2 .

we know that , 

S1:S2 =3:5

\(\therefore \frac{S_1}{S_2}=\frac{4}{5}\) 

\(\frac{A_1}{A_2}=(\frac{s_1}{s_2})^2\) theorem of areas of similar triangles 

\(=( \frac{3}{5})^2\)

 =9/25

therefore , Ratio of similar trianglrs =9:25