Difference between revisions of "1988 AHSME Problems/Problem 27"
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Revision as of 03:53, 7 October 2019
Problem
In the figure, , and
is tangent to the circle with center
and diameter
.
In which one of the following cases is the area of
an integer?
Solution
Using power of a point, we easily notice that the product of AB and CD has to be a perfect square.
See also
1988 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 26 |
Followed by Problem 28 | |
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.