1988 AIME Problems/Problem 7
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Problem
In triangle 
, 
, and the altitude from 
divides 
into segments of length 3 and 17. What is the area of triangle ?
Solution
Let 
be the intersection of the altitude and 
, and 
be the length of the altitude. Without loss of generality, let 
and 
. Then 
and 
. Using the tangent sum formula,
The postive value of 
, so the area is 
.
See also
| 1988 AIME (Problems • Resources) | ||
| Preceded by Problem 6 | Followed by Problem 8 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
