In triangle ABC, <A is a right triangle, and m triangle B=45 degrees

What is the length of BC? If your answer is not an integer, leave it in simplest radical form.
This is a right triangle and from A to C on the hypotenuse it’s 16ft long.

Answer choices

A. 16ft
B. 16 √ 2 ft * this is my answer* is it correct?
C. 16 √3 ft
D. 32 feet

1 answer

To find the length of side BC, we can use trigonometry in the right triangle ABC.

Since angle B is 45 degrees and angle A is a right angle, angle C must be 45 degrees as well (angles in a triangle add up to 180 degrees).

We can use the trigonometric ratio tangent (tan) to find the length of BC.

tan(B) = Opposite/Adjacent
tan(45) = BC/AB
tan(45) = BC/16
1 = BC/16
BC = 16 ft

Therefore, the length of BC is 16 ft, so the correct answer is A. 16 ft.
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