MathDB
Problems
Contests
National and Regional Contests
USA Contests
MAA AMC
AIME Problems
1992 AIME Problems
13
13
Part of
1992 AIME Problems
Problems
(1)
Max Area Without Calculus
Source:
2/15/2006
Triangle
A
B
C
ABC
A
BC
has
A
B
=
9
AB=9
A
B
=
9
and
B
C
:
A
C
=
40
:
41
BC: AC=40: 41
BC
:
A
C
=
40
:
41
. What's the largest area that this triangle can have?
geometry
calculus
inequalities
analytic geometry
quadratics
function
ratio