Let L be a line tangent to the circles C(O1,8) and C(O2,22) at points P and Q, respectively. If O1O2=50, find PQ. Note: C(O,r) is a circumcircle of the triangle and O is a circumcenter of the triangle.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter6: Circles
Section6.3: Line And Segment Relationships In The Circle
Problem 40E: Circles O, P, and Q are tangent as shown at points X, Y, and Z. Being as specific as possible,...
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Let L be a line tangent to the circles C(O1,8) and C(O2,22) at points P and Q, respectively. If O1O2=50, find PQ.

Note: C(O,r) is a circumcircle of the triangle and O is a circumcenter of the triangle.

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