# Homework Help: Right triangle problem,please check

1. May 5, 2010

### zafer

Right triangle problem,please check!!

1. The problem statement, all variables and given/known data
In the figure,TN=NK, ST=12 and SN=$$\sqrt{69}$$.Find the lenght of TK.
[PLAIN]http://img695.imageshack.us/img695/633/50042657.png [Broken]

2. Relevant equations
Pythagorean Theorem

3. The attempt at a solution
Segment SN is the median of the right triangle.Here its not given the other leg how can we find a or b ????

Last edited by a moderator: May 4, 2017
2. May 5, 2010

### Dickfore

Re: Right triangle problem,please check!!

There are two right angled triangles on the picture. They have a common side. Although you do not know the length of it, I would suggest you mark it with some letter. Then, write out Pythagora's Theorem for both of them. You will have two equations for two unknowns.

3. May 5, 2010

### zafer

Re: Right triangle problem,please check!!

Yes,you are right, thanks a lot.I got the correct answer