Question

if the area of an equilateral triangle is 36√3 cm square, find it's heights

Answer 1

area=√3/4 × side²,

then

36√3 = √3/4 × side²,

then

36×4=side²,

side=√(36×4),

side=9×2=18 cm,


therefore

height=√3/2 × side,

then

height=√3/2 × 18,

=√3 × 9,

=9√3 cm