Difference between revisions of "1966 AHSME Problems/Problem 40"
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Revision as of 01:36, 15 September 2014
Problem
In this figure 
is a diameter of a circle, centered at 
, with radius 
. A chord 
is drawn and extended to meet the tangent to the circle at 
in point 
. Point 
is taken on 
so the 
. Denoting the distances of from the tangent through 
and from the diameter by 
and 
, respectively, we can deduce the relation:
Solution
See also
| 1966 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 39 |
Followed by Problem 40 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
