In triangle ABC, A is a right
angle, and m B = 45 .
What is the length of BC? If your
answer is not an integer, leave it in
simplest radical form.
(1 point)
16 ft
32√ 2ft
32 ft
16√2ft
The length of BC can be calculated using trigonometry. Since angle B = 45°, we can use the fact that sin(45°) = cos(45°) = 1/√2.
Let x be the length of BC. We can set up the following equation based on trigonometry:
sin(45°) = BC / AC
1/√2 = x / 16 (AC is the hypotenuse of the triangle)
Solving for x, we get:
x = 16 / √2
x = 16√2 ft
Therefore, the length of BC is 16√2 ft.