When the side of an equilateral triangle is made three times the original side, the area of the new equilateral will become:

Correct option is C

Given:

Let the original side of the equilateral triangle be s.

Formula Used:

The area of an equilateral triangle is given by: A =$$\frac{\sqrt{3}}{4} s^2$$​​

Solution:

When the side is made three times the original, the new side becomes 3s.

The area of the new triangle with side 3s is:
= $$\frac{\sqrt{3}}{4} (3s)^2$$​​

=$$\frac{\sqrt{3}}{4} \times 9s^2$$​​

=$$9 \times \left( \frac{\sqrt{3}}{4} s^2 \right)$$​​

Thus, the area of the new equilateral triangle becomes 9 times the area of the original triangle.