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Menelaus' Theorem
Toolkit 85
Menelaus' Theorem
D
B
D
C
⋅
E
C
E
A
⋅
F
A
F
B
=
1
\frac{DB}{DC}\cdot\frac{EC}{EA}\cdot\frac{FA}{FB}=1
D
C
D
B
⋅
E
A
E
C
⋅
F
B
F
A
=
1
if and only if
D
,
E
,
F
D,E,F
D
,
E
,
F
are collinear.
Related Problems
Core
AMC 8 2019 (Problem 24)
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