1988 AIME Problems/Problem 7

Revision as of 22:16, 20 November 2023 by Arcticturn (talk | contribs) (Solution)

Problem

In triangle $ABC$, $\tan \angle CAB = 22/7$, and the altitude from $A$ divides $BC$ into segments of length 3 and 17. What is the area of triangle $ABC$?

Solution

AIME 1988 Solution 07.png

Call $\angle BAD \alpha$ and $\angle CAD \beta$.

See also

1988 AIME (ProblemsAnswer KeyResources)
Preceded by
Problem 6
Followed by
Problem 8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions

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