# Thread: How do I get the measurement?

1. ## How do I get the measurement?

In circle C, FG and FE are tangent to the circle, EJ = 3/2IH, GK is perpendicular to JE and IH.
Also, CJ = 12 units.

Here is what I have gotten and I don't know if this is right
EC=12 because CJ=12 so EJ=24
HK=8 and KI=8 so HI=16

How do I figure out CG,CF,FG,EF?
Would they all be 12 also since they are coming from the center of the circle?

2. Originally Posted by sanee66
In circle C, FG and FE are tangent to the circle, EJ = 3/2IH, GK is perpendicular to JE and IH.
Also, CJ = 12 units.

Here is what I have gotten and I don't know if this is right
EC=12 because CJ=12 so EJ=24
HK=8 and KI=8 so HI=16

How do I figure out CG,CF,FG,EF?

Would they all be 12 also since they are coming from the center of the circle?
From what you have been given FGCE is a square of side equal to EC.

RonL

3. I presume your mysterious other post relates to this problem. Note that CG is also a radius. Now apply CaptainBlack's hint.

-Dan

4. so EC, CJ, and CG = 12. HK and KI =8. Angles FGC and ECG are 90 degrees. FC bisects and makes a 45 degree angle BUt how do I get the length to answer questions like CF+HI?

5. Originally Posted by sanee66
so EC, CJ, and CG = 12. HK and KI =8. Angles FGC and ECG are 90 degrees. FC bisects and makes a 45 degree angle BUt how do I get the length to answer questions like CF+HI?
You already know the length of HI. And CF is simply the diagonal of the square, which you know the length of the side of...

-Dan