Question

If ratio of heights of two similar triangles is $4:9$, then ratio between their areas is?

• A. $2:3$
• B. $3:2$
• C. $81:16$
• D. $16:81$

Answer 1

The correct option is D $16:81$

Altitudes of similar triangles are in ratio $4:9$
Hence, area of these triangles $=$ square of the ratio of their heights or altitudes
$=(4:9{)}^2$

$=16:81$
Option $\left(4\right)$.