1975 AHSME Problems/Problem 24
Problem
In triangle , and , where . The circle with center and radius intersects at and intersects , extended if necessary, at and at ( may coincide with ). Then
Solution
Since , we know if and only if triangle is isosceles and . Letting , we want to find when . We know , so . We also know , and since , . Since we now know that regardless of , we have , or .
See Also
1975 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 23 |
Followed by Problem 25 | |
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