Question

If the perimeter of an equilateral triangle $ABC$ is 9 m, then the correct representation of $△ABC$ is:

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

An equilateral triangle is a triangle in which all three sides have the same length.
Let the side length be $x,$ then the perimeter $=x+x+x$
$\Rightarrow 9=3x\left(\text{given perimeter of the triangle is 9 m}\right)$
Divide both sides by 3
$\Rightarrow \frac{9}{3}=\frac{3x}{3}$
$\Rightarrow 3=x$
$\Rightarrow x=3$ m

Hence, option (a.) is the correct representation of $△ABC.$