In triangle ABC, A is a right angle, and m b=45 degrees.

What is the length of BC? If your answer is not an integer, leave it in simplest radical form.
a. 16 ft
b. 16 sq 2 ft
c. 16 sq 3 ft
d. 32 ft

I'm really confused as to how to do this... Could someone please explain and show me how to enter the whole calculation into my calculator? I don't really know how to make the whole sin thing plug in the correct ways and where to put my numbers. Thanks!!

6 answers

since the acute angles are 45°, the two legs are both 16 (a fact you left out)

so, the hypotenuse is

√(16^2 + 16^2) = 16√2
Ok thank you!!
they changed the answer for me its the same thing but its 12 ft
they changed the answer for me it's the same thing but its 14 ft
Does anyone know how to do the same thing but with 14ft?
In triangle ABC, 4A is a right angle, and m<B = 45°.
Angle (14 ft)

A. 14 √2 ft *Correct*
B. 28 ft
C. 14 √3 ft
D. 14 ft