1988 AIME Problems/Problem 7
Problem
In triangle , , and the altitude from divides into segments of length 3 and 17. What is the area of triangle ?
Solution
Call and . So, and . Using the tangent addition formula , we get .
Simplifying, we get . Cross-multiplying and simplifying, we get . Factoring, we get , so we take the positive positive solution, which is . Therefore, the answer is , so the answer is .
~Arcticturn
See also
1988 AIME (Problems • Answer Key • Resources) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
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