Question

if the area of an equilateral triangle is 36 root 3 cm cube find its heights

Answer 1

area of eqiulateral triangle =√3a²/4

area =√3a²/4

36=a²/4

144=a²

12=a

then by Pythagoras theorem,

12²=6²+hieght²

144-36=hieght²

108=height²

√108=hieght

4√27=12√3

Answer 2

Area of equilateral triangle=√3a^2/4
So, 36√3=√3a^2/4
4*(36√3)=√3a^2
144√3/√3=a^2
144=a^2
√144=a
°
° ° a=12