The area of an equilateral triangle is √(5043)over4 sq cm. The side of the equilateral triangle is:

The area of an equilateral triangle is √(5043)over4 sq cm…

The area of an equilateral triangle is $\sqrt{5043}\over4$ sq cm. The side of the equilateral triangle is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. $\sqrt41$ cm.

Area of equilateral triangle = ${\sqrt3 \over4} a^2$

${\sqrt3 \over4} a^2$ = $\sqrt{5043}\over4$

$\sqrt3$ a² = $\sqrt{5043}$

Square both sides

⇒ 3a⁴ = 5043

⇒ a⁴ = 1681

⇒ a² = $\sqrt{1681}$ = 41

⇒ a = $\sqrt{41}$ cm