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Math Help - How do I get the measurement?

  1. #1
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    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?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by sanee66 View Post
    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
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  3. #3
    Forum Admin topsquark's Avatar
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    I presume your mysterious other post relates to this problem. Note that CG is also a radius. Now apply CaptainBlack's hint.

    -Dan
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  4. #4
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    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?
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  5. #5
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by sanee66 View Post
    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
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