SOLUTION: AB and AD are tangents of the circle with the center at C. The measure of BDC = 45o, and the circle has a diameter of 4. Which is the length of AB?
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-> SOLUTION: AB and AD are tangents of the circle with the center at C. The measure of BDC = 45o, and the circle has a diameter of 4. Which is the length of AB?
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Question 486682: AB and AD are tangents of the circle with the center at C. The measure of BDC = 45o, and the circle has a diameter of 4. Which is the length of AB?
You can put this solution on YOUR website! The convention must be that 2nd point of tangent (B and D) are on the circle.
The Line from C perpendicular to DC will intersect DB (possibly extended) at a distance (radius) 2 from C because tan(45) = 1. But B is the only other point of DB at distance 2 from C, so BCD is a right angle.
That makes 3 of angles of ABCD right angles, so ABCD is a square and AB = 2.
