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1988 AIME Problems
7
Altitude from A
Altitude from A
Source:
March 18, 2006
trigonometry
geometry
Problem Statement
In triangle
A
B
C
ABC
A
BC
,
tan
∠
C
A
B
=
22
/
7
\tan \angle CAB = 22/7
tan
∠
C
A
B
=
22/7
, and the altitude from
A
A
A
divides
B
C
BC
BC
into segments of length 3 and 17. What is the area of triangle
A
B
C
ABC
A
BC
?
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