How do u find the area of an equilateral triangle with an apothem of 2 ft?
If each side length is 2 feet, then you can find the area. The area of a triangle is base x height. The base is 2 feet. To find the height, we draw a line from the top of the triangle to the middle of the base (hitting it at a right angle). This is the height. To find it, we can use the fact that it is one side of a right angle triangle (the other sides are 2 feet and 1 foot). Using pythagoras, 1^2 + x^2 = 2^2. Solving gives the height, x, to be the square root of three. The area is thus 2 x sqrt(3).
