Question

If each side of an equilateral triangle is halved, its area will be ______.

Options

• halved

• four times

• unaltered

• one-fourth

Answer 1

If each side of an equilateral triangle is halved, its area will be one-fourth.

Explanation:

The area of an equilateral triangle is proportional to the square of its side length (s²). When each side is halved `s/2`, the new area is scaled by \[\left(\frac{1}{2}\right)^2 = \frac{1}{4}\], which means the area becomes one-fourth of the original.