Question

the side of the equalertal triangle is 40 degree. what is its area​

Answer 1

Given

The side of the equalertal triangle is 40 cm

We Find

Area Of Given Equilateral Triangle

We Know

Area of equilateral triangle :-

$\sf \boxed {\red{ \frac{ \sqrt{3} }{4} \times {a}^{2} }}$

According to the question

Area of Equilateral Δ = $\sf { \frac{ \sqrt{3} }{4} \times {a}^{2} }$

Area of Equilateral Δ = $\sf { \frac{ \sqrt{3} }{4} \times {40}^{2} }$

Area of Equilateral Δ = $\sf { \frac{ \sqrt{3} }{4} \times {1600} }$

Area of Equilateral Δ = $\sf { \frac{ \sqrt{3} }{\cancel{4}} \times {\cancel {1600} }}$

Area of Equilateral Δ = $\sf { \sqrt{3} \times 400}$

Area of Equilateral Δ = $\sf {692.82\:Cm³}$

Hence, Area of Equilateral Triangle is 692.89 cm³.