Question

The height of an equilateral triangle is 4√3. what is the area of the equilateral triangle

Answer 1

hi!
here is your answer!

Height of equilateral triangle=4√3units.

We know that,
In an equilateral triangle

height=√3/2 × side

4√3×2=√3× side

8√3=√3×side

8√3/√3=side

side=8units.

We know that,
Area of an equilateral triangle
=√3/4×(side)^2
=√3/4×(8)^2
=√3/4×64
=√3×16
=16√3
=16×1.73..................(√3=1.73)
=27.68sq.cm

Therefore,
Area of an equilateral triangle is 27.68sq.cm

hope this helps ! ! !#