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# bisectors

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Let AB be a diameter of a circle, and let C be a point on the circle such that AC=8 and BC=4 The angle bisector of ACB intersects the circle at point M Find CM.

Nov 17, 2022

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The angle bisector of ACB intersects the circle at point M Find CM.

Hello Guest!

Point C is on the periphery of the Thales circle of diameter AB.

Triangle ABC is a right triangle. The following applies:

$$\overline{AB}=\sqrt{\overline{AC}\ ^2+\overline{BC}\ ^2}=\sqrt{8^2+4^2}=\sqrt{64+16}=8.944$$

To be continued today.

!

Nov 17, 2022