Question

Using herons formula find the area of triangle of side A unit

Answer 1

side of triangle =a unit
perimeter= 3a
s=3a/2
area=
$\sqrt{s(s - a)(s - b)(s - c)}$
$\sqrt{ \frac{3a}{2}( \frac{3a}{2} - a) (\frac{3a}{2} - a)(\frac{3a}{2} - a) }$
$\sqrt{ \frac{3a}{2}( \frac{3a - 2a}{2} )(\frac{3a - 2a}{2}) (\frac{3a - 2a}{2})}$
$\sqrt{3 \times \frac{a}{2} \times \frac{a}{2} \times \frac{a}{2} \times \frac{a}{2} }$
$\sqrt{3} \times \frac{a}{2} \times \frac{a}{2}$
$\sqrt{3} {( \frac{a}{2}) }^{2}$
$\sqrt{3} \times \frac{ {a}^{2} }{4}$
$\sqrt{3} \frac{ {a}^{2} }{4}$
here is ur ans I hope it will help