Question

In triangle ABC, C is a right angle.Side c= 9 and side a =5. What are the measures of the remaining side and angles, in degrees, of the triangle?

Answer 1

I know that. Can you please help me find the rest of the side, angles?

Answer 2

Ohh, sorry I forgot to put the "?": It was a question xD.
Yes, sure.

Answer 3

it's Okay. so how would i do that?

Answer 4

Let me draw it better:

We can use pythagorean theormen to find b
\[c^{2}=a^{2}+b^{2}\]
So b would be:
\[b=\sqrt{c^{2}-a^{2}}\]

Answer 5

b=7.5 ?

Answer 6

so side B =7.5

now how do i find the angle of ?

Answer 7

Let's focus on B first:

Answer 8

We know that\[\cos \theta=\frac{ side a }{ hypotenuse }\]
We have side a and hypotenuse

Answer 9

Didn't we just do B ? Or is there more to it or you're doing the angle of it?

Answer 10

Yes

Answer 11

yes to which question? lol

Answer 12

Just get B

Answer 13

\[B=\cos^{-1}(\frac{ 5 }{ 9 })\]

Answer 14

Using the equation you showed me i got 7.5 ? correct or not?

Answer 15

Ohh, but that was b, the side, not the angle

Answer 16

Okay so we found the side.

This one you're showing now is the angle?

Answer 17

Yes

Answer 18

\[b= \cos ^-1 \left(\begin{matrix}5 \\ 9\end{matrix}\right) = .98\]

Answer 19

Put your calc in deg

Answer 20

Not in radians

Answer 21

56 degrees?

Answer 22

Yes.

Answer 23

whoop whoop now angle A.

Answer 24

And of the angle A:
The sum of all inner angles of the triangle is 180.
So we have 90 and 56.
A=180-(90+56)=34

Answer 25

So
Side B = 7.5
Angle B = 56 degrees
Angle A = 34 degrees
Correct?

Answer 26

Yes

Answer 27

Do you need something else?

Answer 28

Thank you soooooooooooooooooo much! I haven't had a great helper in a loong time on here!

Answer 29

Can you check my answer on another question?

Answer 30

Ok

Answer 31

what values for Ɵ ( 0 ≤ Ɵ ≤ 2 π) satisfy the equation?

Tan^2 = - 3/2 sec Ɵ


A. pi/2, 5/pi
B. 3pi/4, 5pi/4
C. pi/3, 5pi/3 <<
D. 2pi/3, 4pi/3

Answer 32

Sorry if I don't explain myself very well, it is because I'm improving my english. But I will do my best

Answer 33

No you explain very well. you're brilliant [:

Answer 34

I just want to know if it's the correct answer.

Answer 35

It is just \[\tan^{2}\]?. There is nothing more right after tan?

Answer 36

tan^2 theta! im sorry.

Answer 37

Wait I believe it's actually A. not B.

Answer 38

I have to get going. I'll submit A. whatever happens happens. Thanks alot for the help.

Answer 39

eeh i was wrong it's D. ;C

Answer 40

Yes, because it does not "undefine" is the right word?