Divide the perimeter by 3 to find the side length. Since the formula for the are of a triangle is 1/2 * b * h the height must be found. If a perpendicular line is drawn from the apex of the triangle, a right triangle is formed with a base of 5 and a hypotenuse of 10. Also since it originally was equilateral the base angle is 60 degrees. The rules for finding lengths of sides of equal. Triangles is long leg = sqrt3 * short leg the height is the long leg so the height is 5sqrt3. A=(1/2)(10)(5sqrt3)= 25sqrt3