Difference between revisions of "1995 AHSME Problems/Problem 18"
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Latest revision as of 12:59, 5 July 2013
Problem
Two rays with common endpoint forms a angle. Point lies on one ray, point on the other ray, and . The maximum possible length of is
Solution
Triangle has the property that and .
From the Law of Sines, .
Since , we have:
.
The maximum of is when , so the maximum of is .
See also
1995 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 17 |
Followed by Problem 19 | |
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 |
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