Question

find the length of side and perimeter of an equilateral triangle whose height is square root 3 cm

Answer 1

$\textbf{ \huge{ Hello Mate! }}$

In an equilateral triangle,

$Height = \frac{ \sqrt{3} a}{2} \\ \sqrt{3} = \frac{ \sqrt{3}a }{2} \\ \sqrt{3} \times \frac{2}{ \sqrt{3} } = a \\ 2 \: cm \: = a$

$\boxed{ \textsf{ \red{ Hence,side\:of\:length\:is\:2\:cm }}}$

Perimeter of equilateral traingle = 3 × side

= 3 × 2cm = 6 cm

$\boxed{ \textsf{ \red{ Perimeter\:of\:triangle\:is\:6\:cm }}}$

Have great future ahead!