Question

The length of each side of ab equilateral triangle having an area of 16√3cm²

Answer 1

Answer:

8 cm.

Step-by-step explanation:

Area of the equilateral triangle of side length a =  $\frac{\sqrt{3} }{4}a^{2}$

                                                                   => $16\sqrt{3} = \frac{\sqrt{3} }{4}a^{2}$

                                                                   => a = 8 cm.          

Answer 2

Given ,

Area of equilateral triangle = 16√3 cm²

We know that ,

The area of equilateral triangle is given by

Area = (√3/4) × (a)²

Where ,

a = side of triangle

Thus ,

16√3 = (√3/4) × (a)²

(a)² = 64

a = √64

a = ± 8 cm

Since , the length can't be negative

$\sf \therefore \underline{The \: length \: of \: each \: side \: of \: triangle \: is \: 8 \: cm}$