Question

if the area of equilateral triangle is 64 root 3 cm square find the length of its side

Answer 1

Hey frnd....

Thnx for asking this question.
Here is your answer.

♣Area of triangle♣ The answer is in the attachment.


Hope this would help you.

Answer 2

Given,

Area of the equilateral triangle =64$\sqrt{3}$cm²

To Find,

Length of equilateral side

Solution,

Let's assume equilateral triangle side = a cm

Area of the equilateral triangle = $\frac{\sqrt{3} }{4}$×a²

Triangle's area = 64$\sqrt{3}$ cm²

$\frac{\sqrt{3} }{4}$×a² = 64$\sqrt{3}$

a² = $\frac{4*64*\sqrt{3} }{\sqrt{3}}$

a² = 4×64

a²= 256

a = √256

a = 16cm

The side of the equilateral triangle with an area of 64$\sqrt{3}$ cm² is 16cm