MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
Stanford Mathematics Tournament
2019 Stanford Mathematics Tournament
3
SMT 2019 Geometry #3
SMT 2019 Geometry #3
Source:
August 8, 2023
geometry
Problem Statement
In triangle
A
B
C
ABC
A
BC
with
A
B
=
10
AB = 10
A
B
=
10
, let
D
D
D
be a point on side BC such that
A
D
AD
A
D
bisects
∠
B
A
C
\angle BAC
∠
B
A
C
. If
C
D
B
D
=
2
\frac{CD}{BD} = 2
B
D
C
D
=
2
and the area of
A
B
C
ABC
A
BC
is
50
50
50
, compute the value of
∠
B
A
D
\angle BAD
∠
B
A
D
in degrees.
Back to Problems
View on AoPS