Question

In triangle ABC, angle A is a right angle, and m angle B = 45 deg

C

16 ft

B

A

What is the length of BC? If your answer is not an integer, leave it in simplest radical form.

(1 point)

16sqrt(2) * ft

32sqrt(2) * ft

32 ft

16 ft

Answer 1

The triangle is a right triangle because angle A is a right angle (90 degrees). Since angle B is 45 degrees, we have a 45-45-90 triangle.

In a 45-45-90 triangle, the sides are in the ratio 1:1:√(2). This means that the length of BC is equal to the length of AB, which is 16 ft. Therefore, the length of BC is also 16 ft.

So the answer is: 16 ft