Question

the perimeter of an equilateral triangle is 60m what will be its area?​

Answer 1

perimeter of an equilateral triangle will be 3side because all three sides of triangle or equal

$3s = 60 \\ s = \frac{60}{3} \\ s = 20m$

area of triangle =√3/4a^2

$\frac{ \sqrt{3} }{4 {a}^{2} } \\ \frac{ \sqrt{3} }{4 \times {20}^{2} } \\ \sqrt{3} = 800 \\ 800 \times {3}^{2} \\ 800 \times 9 \\ 7200 {m}^{2}$

Answer 2

$\mathtt{Perimeter \; of \; an \; equi∆ \; = 3×side}$

$\mathtt{\implies 60 \; m = 3×side}$

$\mathtt{\implies side \; = \frac{60}{3} m}$

$\mathtt{\implies side \; = 20 m}$

$\mathtt{Now, \; ar \; of \; equi∆ \; = \frac{\sqrt{3}}{4} × side² }$

$\mathtt{\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\; = \frac{\sqrt{3}}{4} × (20)²}$

$\mathtt{\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\; = 100 \sqrt{3} \; m²}$