I don't know how to do #9. Please help!

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- December 8th 2008, 04:11 PMs3aCircles question (point of tangency stuff)
I don't know how to do #9. Please help!

- December 9th 2008, 05:17 AMmasters
(a)

Arc AC = 88 degrees (half of angle B)

Arc AB = 110 degrees

Arc BC = 360 - 88 - 110 = 162

b = 1\2 arc BC = 1/2 (162) = 81 degrees

(b)

The square of the tangent is equal to the external part of the secent times the whole secant.

Finish up.

(3)

Use the Pythagorean theorem to find the length of the other chord segment which is 4. (It's a 3-4-5 right triangle.)

If two chords intersect in a circle, then the products of the measures of the segments of the chords are equal.

Finish up.