Question

I need help with some trig for geometry!

Answer 1

What's your question?

Answer 2

It has to do with triangles and stuff. Hold on I'll attach a pic.

Answer 3

Are you looking for the two angles, the third side, the area, or what?

Answer 4

1.Find the following and show all work including the trigonometric ratios used:
A.The measure of angle A
B.The measure of angle B
C.The length of side AC

Angle C is 90 degrees

Answer 5

Let's start with the side. Have you heard of the Pythagorean Theorem?

Answer 6

Yes I have, but to be honest I'm no good at it

Answer 7

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

Answer 8

Plug in the two sides you already know as a and b.

Answer 9

Do you have that?

Answer 10

Well the only sides labeled in my pic say 10 and 4. It doesn't say which is side A or B

Answer 11

That doesn't matter, though. a+b=b+a so the numbers are interchangeable. Just plug the digits in.

Answer 12

Ok. So: 10^2+4^2=C^2

Answer 13

\[10^2=100\]\[4^2=16\]\[16+100=116\]\[116=c^2\]

Answer 14

\[\sqrt{c}=116\]

Answer 15

I can't delete that. \[\sqrt{116}=c\]

Answer 16

What's the square root of 116?

Answer 17

I just did it on my calculator. It's 10.77

Answer 18

So now we have this:

Answer 19

"c" in this formula is always, always, always the one across from the right angle, so c=10.

Answer 20

something is off. Usually when the largest side of the triangle (hypotenuse) is given we have to find a side that's smaller than what the hypotenuse is. Since we were given 4 and 10, one of the sides has to be between that value

Answer 21

correct mjdennis

Answer 22

My apologies, I was paying attention to the values rather than the placement!

Answer 23

I understand, it's all good:) So 10.77 is the length of side C. I think I can solve the other questions now. I do have one more triangle though... Are you guys able to help me with that?

Answer 24

our correct version is supposed to be