Question

The corresponding sides of two similar triangles are in the ratio $a:b$. What is the ratio of their areas?

• A. $a:b$
• B. $2a:2b$
• C. $a^2:b^2$
• D. $\frac{1}{a}:\frac{1}{b}$

Answer 1

The correct option is C $a^2:b^2$

Given two triangles are similar, then the ratio of the areas $=a^2:b^2$

This is due to the common theorem, If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.