Question

I have a Geometry/Trigonometry question.

Answer 1

I have no idea how to solve it.

Answer 2

So, there are a few ways to explain it. Are you familiar with the sin and cos functions?

Answer 3

I've heard of them, but haven't used them before.

Answer 4

Sin = Opposite over Hypotenuse
Cos = Adjacent over Hypotenuse

Answer 5

Yeah, that should be good enough. We know that the two smaller angles are the same. The hypotenuse doesn't change either. Since the angles are the same, and the hypotenuse won't change between them, we can draw a conclusion about the two other sides of the triangle.

They are the same length!

(This is hard to illustrate in text, sorry if it's confusing)

Since they are the same length, and we know that, for a right triangle, that:

\[a^2 + b^2 = c^2\]

We can find the length of the hypotenuse (BC)

Answer 6

So would it be. \[16^{2}+16^{2}=22.6\]

Answer 7

Meaning, it would be. \[22.6=16\sqrt{2}\]

Answer 8

\[16^2 + 16^2 = 2*16^2 = C^2\]
\[C = \sqrt{2*16^2} = 16\sqrt{2}\]

Answer 9

So I got it right?

Answer 10

Yeah, exactly

Answer 11

Thanks you so much.

Answer 12

My pleasure :)