0000 1.

asked • 10/21/22

FG is tangent to a circle at F. AC ⊥ BG.

Image: https://paste.pics/JB4OH


Find the measures of:

  1. x
  2. m line(BE)
  3. m line(AH)
  4. m line(AC)
  5. m line(AE)
  6. m line(EG)
  7. m line(FG)
  8. m line(BH)
  9. Perimeter of BCG
  10. Area of CHG


Please with solutions. Thanks!

Mark M.

Do you have a specifice question as to process or iis this just to get the work done?
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10/22/22

Doug C.

tutor
Here is a hint to get you started, but after that you should try as hard as possible to get this done on your own, perhaps asking specific questions with areas you are struggling with. The chord-chord product theorem provides the equation BH(HG) = AH(HC). Solving that equation for x allows the answering of the remaining questions.
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10/22/22

1 Expert Answer

By:

Jacinda B. answered • 11/07/22

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Experienced teacher of teens and adults
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Hello,


At first glance I thought that segment BE is a diameter of the circle, but that is not stated in the problem. I recommend that you start with the intersecting chords theorem. When two chords intersect each other inside a circle, the product of their segments are equal.

So in the picture that you provided (HB)(HE)=(HA)(HC)

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