Question

Find the area of an equilateral triangle of each side 2a units.

Answer 1

Let a,b,c are the sides of the triangle.

Then a = b = c = 2a

We know

S = (a+b+c)/2 = (2a + 2a + 2a)/2 = 6a/2 = 3a

Area = √(s*(s-a)*(s-b)*(s-c)) = √(3a*(3a-2a)*(3a-2a)*(3a-2a))

= √(3a*a*a*a) √(3a⁴) = √3 a²

Answer 2

Answer: √3 a^2 sq. units

Step-by-step explanation: Find the height of the triangle using Pythagoras theorem, and use that to find the area of the triangle. (refer to attached image)

Hope this helps. Kindly mark as “brainliest answer if it did.” Cheers. :)