1995 AHSME Problems/Problem 18
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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 | |
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