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27 A circle has a diameter of 20 cm.
The line AC is a diameter of the circle.
B is a point on the circumference of the circle with AB = 12 cm. The point D lies on the arc AC on the opposite side to point B.
What is the sine of ∠BDC?

Any ideas?
 Nov 2, 2013
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A circle has a diameter of 20 cm.
The line AC is a diameter of the circle.
B is a point on the circumference of the circle with AB = 12 cm. The point D lies on the arc AC on the opposite side to point B.
What is the sine of ∠BDC?

<BDC=<BAC they are both subtended from arc BC so they are congruent

<ABC = 90degress (angle in a semicircle)

Cos(<BAC) = 12/20

and you can finish it.
 Nov 3, 2013

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