Question

If the sides of two similar triangles are in the ratio $1:7$, find the ratio of their areas.

• A. $7:1$
• B. $1:7$
• C. $1:49$
• D. $1:14$

Answer 1

The correct option is C $1:49$

We know that the relation between area of two similar triangle:
If two triangles are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides.

Given, sides of two similar triangles are in the ratio $1:7$.
So, the ratio of their areas $=1:49$.