Problem:
In the adjoining figure, points and lie on line segment , and and are diameters of circles and , respectively. Circles and all have radius and the line is tangent to circle at . If intersects circle at points and , then chord has length
Answer Choices:
A.
B.
C.
D.
E. none of these
Solution:
In the adjoining figure, is perpendicular to at , and and are radii. Since , it follows that , or . Thus . Applying the Pythagorean Theorem to triangle yields , so .
Therefore, .
