Question

The area of equilateral triangle is numerically equal to its perimeter, then its perimeter correct to 2 decimal places is 20.78 units
If true then enter $1$ and if false then enter $0$

Answer 1

Area of an equilateral triangle with length of side $a=\frac{\sqrt{3}}{4}{a}^2$
Perimeter of the triangle $=$ sum of all sides $=a+a+a=3a$
Given, area of the equilateral triangle $=$ Perimeter
$\frac{\sqrt{3}}{4}{a}^2=3a$
$=>a=\frac{3\times 4}{\sqrt{3}}$
$a=4\times \sqrt{3}$ units

Perimeter $3a=3\times 4\times \sqrt{3}=12\sqrt{3}=12\times 1.732=20.784$ units