Question

the area of an equilateral triangle is 4√3 sq.m find the length of each side of the triangle​

Answer 1

Answer:

4cm

Step-by-step explanation:

Given, area of equilateral triangle =4√3cm

Area of Equilateral Traingle with length

side a ( We are considering the side as "a")

= √3/4a^2

Given area = 4√3

=√3/4×a^2 = 4√3

= a^2= 16

a= 4cm

Answer 2

${\pmb{\underline{\sf{ Required \ Solution ... }}}}$

The length of each side of the triangle is 4 m.

EXPLAINED

We have that:

• Area of (∆) = 4√3 m²
• Each side of Equilateral Triangle are Equal in Length.

Also, We know that we can find the Area of the triangle using side of the triangle as:

$\colon\Rightarrow {\sf\large{ Area_{( \Delta )} = \left( \dfrac{ \sqrt{3} }{4} a^2 \right) }} \\ \\ \\ \circ \ {\pmb{\underline{\sf{ According \ to \ Question: }}}} \\ \\ \colon\implies{\sf{ 4 \cancel{ \sqrt{3} } = \dfrac{ \cancel{ \sqrt{3} } }{4} a^2 }} \\ \\ \colon\implies{\sf{ 4 = \dfrac{1}{4} a^2 }} \\ \\ \colon\implies{\sf{ 4 \times 4 = a^2 }} \\ \\ \colon\implies{\sf{ a = \sqrt{ 4 \times 4 } }} \\ \\ \colon\implies{\underline{\boxed{\sf{ a = 4 \ m _{(Side_{[Length]} )} }}}}$

Hence,

${\pmb{\underline{\sf{ The \ length \ of \ side \ of \ the \ triangle \ is \ 4 \ m. }}}}$