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1990 AIME Problems
7
7
Part of
1990 AIME Problems
Problems
(1)
Angle Bisector in Cartesian
Source:
2/25/2006
A triangle has vertices
P
=
(
−
8
,
5
)
P=(-8,5)
P
=
(
−
8
,
5
)
,
Q
=
(
−
15
,
−
19
)
Q=(-15,-19)
Q
=
(
−
15
,
−
19
)
, and
R
=
(
1
,
−
7
)
R=(1,-7)
R
=
(
1
,
−
7
)
. The equation of the bisector of
∠
P
\angle P
∠
P
can be written in the form
a
x
+
2
y
+
c
=
0
ax+2y+c=0
a
x
+
2
y
+
c
=
0
. Find
a
+
c
a+c
a
+
c
.
ratio
trigonometry
analytic geometry
graphing lines
slope
calculus
integration