+288 The sides of the equilateral triangle are equal, and first we should find the side lengths. To find the side length, we can do
(s = side)
( 1/2 s )² + 12² = s²
1/4 s² + 144 = s²
144 = 3/4 s²
144 / 3/4 = s²
144 x 4/3 = s²
192 = s²
s = √ 192
We now know that s = √ 192, so we can now find the area of the equilateral triangle:
A = 1/2 x 12 x √192
A = 6 x √192
A ≈ 83.14 or 6√192
Answer: A = 83.14 units or 6√192
