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Medians in Triangles
Contributed by: Smith
the opposite side
Medians are
segments
with one enpoint
at a
midpoint
?
(a corner)
and one
endpoint at the

vertex
?
AB ≅ BC
of
AB =
20
?
9
10
9
?
10
?
AB ≅ BC
AB =
22
?
10
11
10
?
11
?
AB ≅ BC
AB =
32
?
11
16
11
?
16
?
AB ≅ BC
AB =
10
?
6
5
6
?
5
?
AB ≅ BC
B
3x
F
=
B
2x
X
+
The median
is divided up
UNevenly.
The parts
form a 2 to 1
ratio
X
x
AB ≅ BC
F
B
3x
F
=
B
2x
X
+
BX=
XF=
BF=
X
30
?
20
?
10
?
x
AB ≅ BC
F
B
3x
F
=
B
2x
X
+
BX=
XF=
BF=
X
36
?
24
?
12
?
x
AB ≅ BC
F
B
3x
F
=
B
2x
X
+
BX=
XF=
BF=
X
15
x
AB ≅ BC
F
B
3x
F
=
B
2x
X
+
BX=
XF=
BF=
X
27
x
AB ≅ BC
F
B
3x
F
=
B
2x
X
+
BX=
XF=
BF=
X
x
7
AB ≅ BC
F
B
3x
F
=
B
2x
X
+
BX=
XF=
BF=
X
42
x
AB ≅ BC
F
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