Question

Find the length of side and perimeter of equilateral triangle whose height is 3√3​

Answer 1

Answer:

consider the length of equilateral triangle be a cm.

then by Pythagoras theorem

a^2= (a/2) ^2+(3√3) ^2

3a^2/4 = 27

so a^2 = 36

a = 6cm ( length of side)

perimeter = 3a = 3×6 = 18cm