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Math Asked by a SnapAndSolve user · about 1 hour ago

Select the correct answer. Tobias wants to add a wooden trim to a triangular window with the dimensions...

Select the correct answer.
Tobias wants to add a wooden trim to a triangular window with the dimensions shown.
What is the approximate length of wood needed to trim the window?
15.4 ft
14.5 ft
13.2 ft
14.2 ft

Answer

The triangle is a 30-60-90 triangle. In such triangles, the sides are in the ratio 1 : √3 : 2. The hypotenuse is 6 ft, which is twice the shortest side (opposite the 30° angle). Therefore, the shortest side is 3 ft. The side opposite the 60° angle is 3√3 ft.

Perimeter = 6 ft + 3 ft + 3√3 ft ≈ 6 + 3 + 5.2 = 14.2 ft.

The correct answer is 14.2 ft.

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