Question

the area of equilateral triangle 36√3 square. m. find the length of its side​

Answer 1

Answer:

60

Step-by-step explanation:

right answer ok Ha Ha Ha Ha

Answer 2

$\bf\blue{QuestioN:-}$

The area of equilateral triangle 36√3 sq.m. Find the length of its side​.

$\bf\purple{AnsweR:-}$

Area of the equilateral Δ = 36√3 m²

As we know,

Area of an equilateral Δ = (√3/4)a²

where a = length of sides

Then,

⇒ 36√3 = √3/4 × a²

$\implies\bf{\dfrac{36\sqrt{3}\times4}{\sqrt{3}}=a^2}$

On rationalising denominator,

$\implies\bf{\dfrac{(36\sqrt{3}\times4)\times\sqrt{3}}{\sqrt{3}\times\sqrt{3} }=a^2}$

$\implies\bf{\dfrac{144\times\sqrt{3}\times\sqrt{3}}{3}}=a^2}$

$\implies\bf{\dfrac{144\times3}{3}}=a^2}$

$\implies\bf{144=a^2}$

$\implies\bf{a=\sqrt{144}}$

$\implies\bf{a=12}$

Each side of the equilateral triangle = 12 m.

Happy Learning!! ♥