Question

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

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


Any help is appreciated, thank you!!

Answer 1

I believe it would be 16 ft square root 3 ft.

Correct me if I'm wrong! :)

Answer 2

We can use the ratios for special triangles (see the attachment below). We'll be using the 45-45-90 triangle. We notice that side BC is equal to
`x √(2)`, and side AC (x using the special right triangle) is equal to 16. We can therefore say that side BC is equal to
`16 √(2)` ft

:)