Answer: c. 23.7 in.
Step-by-step explanation:
From the given right angle triangle,
The hypotenuse of the triangle measures 10 inches.
one of the legs represents the adjacent side of the right angle triangle while the other leg represents the opposite side of the right angle triangle.
We would take 30° as the reference angle. To determine the adjacent side,a we would apply the cosine trigonometric ratio.
Cos θ, = adjacent side/hypotenuse. Therefore,
Cos 30 = a/10
a = 10Cos 30 = 10 × 0.8660
a = 8.66 inches
To determine the opposite side,b we would apply the Sine trigonometric ratio.
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 30 = b/10
b = 10Sin 30 = 10 × 0.5
b = 5 inches
The perimeter of the triangle is
10 + 8.66 + 5 = 23.66 inches
Approximately 23.7 inches
