1954 AHSME Problems/Problem 26
Contents
[hide]Problem 26
The straight line is divided at so that . Circles are described on and as diameters and a common tangent meets produced at . Then equals:
Solution
Let and let be the radius of the small circle. Draw the line from the center of each of the circles to the point of contact of the tangent of the circle. By similar triangles, , or .
https://artofproblemsolving.com/community/c4h256249s1_lines_and_circles
Video Solution
~Lucas
See Also
1954 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 25 |
Followed by Problem 27 | |
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