Question

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?
a. 14.2 ft
b. 15.4 ft
c. 13.2 ft
d. 14.5 ft

Explanation:

Step1: Identify triangle sides

This is a 30-60-90 right triangle. The hypotenuse $c=6$ ft.
In such a triangle:
Shorter leg (opposite 30°): $a=\frac{1}{2}c = \frac{1}{2} \times 6 = 3$ ft
Longer leg (opposite 60°): $b=\frac{\sqrt{3}}{2}c = \frac{\sqrt{3}}{2} \times 6 = 3\sqrt{3} \approx 5.196$ ft

Step2: Calculate perimeter

Perimeter $P = a + b + c$
$P = 3 + 5.196 + 6$

Answer:

A. 14.2 ft