Question

What is the area of the triangular floor space enclosed by the glass tetrahedron? Round to the nearest tenth of a square foot. Enter only the number. (Hint: Look at the green triangle to find the base, b, of each green triangle. Because b is also the hypotenuse of the right triangle formed by dividing the base triangle into half, you can use this and Heron’s formula for the area of the triangle.)

Answer 1

tan(35) = 105/x where x is one of the sides. 
x = 150 ft 
Height of base triangle = √(150^2 - 130^2) = 74.83 ft 
Area = (1/2)(base)(height) = (1/2)(260 ft)(74.83 ft) = 9728 ft^2