Question

Areas of two similar triangles are 225 sq.cm. 81sq.cm. If a side of the smaller triangle is 12cm, then find corresponding side of the bigger triangle.

Answer 1

In the attachment I have answered this problem.

Before solving this problem,

We must know

" The ratio of area of the two similar triangles is equal to ratio of the squares of the corresponding sides" .

See the attachment for detailed solution .

Answer 2

Hello Dear.


Refers to the attachment for the solution.

Given ⇒
Area of the two similar triangles are 225 cm² and 81 cm².

By using the theorem,
When the two triangles are similar, then the ratio of there areas is equal to the ratio of the square of there corresponding sides.

∴ Area of the ΔABC/Area of the ΔPQR = AB²/PQ²
∴ 225/81 = AB²/12²
⇒ AB² = 225 × 144/81
⇒ AB = √400
∴ AB = 20 cm.


Hence, the corresponding side of the bigger triangle is 20 cm.


Hope it helps.