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# Power of a point, please explain

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Let $$\overline{AB}$$ be a diameter of a circle, and let C be a point on the circle such that AC = 8 and BC = 6. The angle bisector of $$\angle ACB$$ intersects the circle at point M. Find CM.

Jun 17, 2020

#1
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CM = 9.899574118

Jun 17, 2020
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Use the angle bisector theorem to find BY and YA. Y is the point of intersection between AB and CM.

After you get the values of BY, CY, and AY, use the intersecting chords theorem(Power of A Point) to find the value of YM.

Jun 18, 2020
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how do i find CY

Guest Jun 20, 2020