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.)

Question

Mathematics

Laney Ryan

22 April, 04:16

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.)

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Answers (1)

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Sharon Moran · 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