Question

What is the value of x?
A. 22.5
B. 45
C. 63.6
D. 50

Answer 1

here is the image

Answer 2

I believe the answer is B, 45 because....
I assumed that this was a 45-45-90 triangle
so I did
tan(45)=x/45
x=45 tan (45)
x=45

am I right?

Answer 3

that would be correct

Answer 4

@Spectrum great! thank you!

Answer 5

one thing though.... a 45 -45 -90 triangle deals with angles..and those are 45 side lengths ..so its not bc of that..:)

Answer 6

@Spectrum oh.. well I assumed that it was a 45-45-90 triangle because the angle on the top is split into two so I did 90/2 is 45 which makes 45 degrees..?

Answer 7

Your calculations are correct, but there's no need to assume it's a 45-45-90 triangle, and you shouldn't assume that. You should prove it, which is doable.

Answer 8

but how can I prove that this is a 45-45-90 triangle? I just did 90/2

Answer 9

The triangles are congruent, so corresponding parts are congruent.

Answer 10

yes ok