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2020 ASDAN Math Tournament
1
2020 Team #1
2020 Team #1
Source:
October 24, 2023
geometry
team test
Problem Statement
Consider triangle
△
A
B
C
\vartriangle ABC
△
A
BC
with
∠
C
=
9
0
o
\angle C = 90^o
∠
C
=
9
0
o
. Let
P
P
P
be the midpoint of
A
C
‾
\overline{AC}
A
C
so that
A
P
=
P
C
=
1
AP = PC = 1
A
P
=
PC
=
1
, and suppose
∠
B
A
C
=
∠
C
B
P
\angle BAC = \angle CBP
∠
B
A
C
=
∠
CBP
. Compute
A
B
2
AB^2
A
B
2
.
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