Question

How do I find the hypotenuse of this triangle?

Answer 1

.

Answer 2

a^2+b^2=c^2

Answer 3

ok what do the inside angles of a triangle add up to?

Answer 4

180 degrees.

Answer 5

You need the 30-60-90 theorem. See attached information.

Answer 6

is shows us already that there is a 90 and a 30 which means we need another 60 to get 180. so the top angle is 60, this is a 30 60 90 triangle which means there are no congruent sides

Answer 7

^^^

Answer 8

You could also use trig functions. \[\cos (30)=\frac{ 5\sqrt{3} }{ z }\] And just solve algebraically.

Answer 9

The 30-leg is the 60-leg divided by square root of 3.

Answer 10

Use the cos rule. Cos(Theta)=Adjacent/Hypotenuse

Answer 11

Basically 5root3 Divided by cos 30.

Answer 12

My openstudy is getting buggy. If I don't reply for a while it's because it logged me out or something.

Answer 13

And, according to the theorem, the hypotenuse has length twice the 30-leg.
We do not need right triangle trig here. See attached. @asher1027

Answer 14

>>>My openstudy is getting buggy.

It is not just your OS that is getting buggy.

Answer 15

OS has been like this for weeks. It has worked properly much less often than it has worked poorly.

Answer 16

OS as in operating system?

Answer 17

@asher1027 Did you read the 30-60-90 theorem I attached? You need to know that.

Answer 18

OS is openstudy.

Answer 19

Yeah I read it. Thanks.

Answer 20

Oh yeah, duh. haha

Answer 21

So, what did you get for the hypotenuse length?

Answer 22

@agent0smith

Answer 23

Is it 25?

Answer 24

No.

Answer 25

Look at this diagram.

Answer 26

^^^ It is an application of the 30-60-90 theorem.

Answer 27

Ok, oops. I misread some of the previous instructions. That makes sense.

Answer 28

So, what is the length of the hypotenuse?

Answer 29

10.

Answer 30

Yes, that is what I got.

Answer 31

Thanks again. @Directrix

Answer 32

You are welcome.