Question

area of an equilatoral triangle is 48 root 3m^2 write the length of its altitude

Answer 1

Answer:

the correct answer is 96

Answer 2

Answer:

12 meter

Step-by-step explanation:

Area of equilateral triangle =

$\frac{ \sqrt{3} }{4} \times {a}^{2}$

Here, 48√3=√3/4 x a;

48x4 = a²

a = 2x2x2x√3

side (a) = 8√3 m

Height of altitude h =

$\frac{ \sqrt{3} }{2} a$

> h = √3/2 x a

= √3/2 x 8√3

= 12 m