Question

The ratio of corresponding sides of similar triangles is 3:5. Then

find the ratio of their areas.​

Answer 1

Answer:

Let the corresponding sides of similar triangles be S and S . Let A and A be their corresponding areas.

∴ Ratio of areas of similar triangles = 9 : 25

Answer 2

Answer:

$\huge\fcolorbox {yellow}{orange}{Question}$

The ratio of corresponding sides of similar triangles is 3:5. Then

find the ratio of their areas.

$\huge \mathcal \colorbox{lavender}{ \pink{ Answer}}$

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 their corresponding sides''.

➡$\frac{ {3}^{2} }{ {5}^{2} }$

➡$\frac{9}{25}$