Question

What is the ratio of the areas of two similar triangles whose corresponding sides are in the ratio 15:19?

• A. $\sqrt{15}:\sqrt{19}$
• B. $15:19$
• C. $225:361$
• D. $125:144$

Answer 1

Answer: (C)

$225:361$

We know ratio of areas of two similar triangles is equal to the ratio of the square of their corresponding sides.

Ratio of sides $=\frac{15}{19}$

Ratio of areas $={\left(\frac{15}{19}\right)}^2=\frac{225}{361}$

So, option $C$ is correct.