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3
Special point D.
Special point D.
Source: Unknown
May 27, 2019
geometry
Problem Statement
Let
D
D
D
be a unique point on segment
B
C
BC
BC
, in
A
B
C
ABC
A
BC
. If
A
D
2
=
B
D
⋅
C
D
AD^2 = BD \cdot CD
A
D
2
=
B
D
⋅
C
D
, show that
A
B
+
A
C
=
2
B
C
AB + AC = \sqrt{2}BC
A
B
+
A
C
=
2
BC
.
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