# How do I get the measurement?

• Jul 11th 2007, 01:24 PM
sanee66
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?
• Jul 11th 2007, 01:39 PM
CaptainBlack
Quote:

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
• Jul 11th 2007, 05:52 PM
topsquark
I presume your mysterious other post relates to this problem. Note that CG is also a radius. Now apply CaptainBlack's hint.

-Dan
• Jul 11th 2007, 06:28 PM
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?
• Jul 12th 2007, 04:50 AM
topsquark
Quote:

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