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2
Right triangle ABC is base of pyramid ABCD, AD=BD and AB=CD
Right triangle ABC is base of pyramid ABCD, AD=BD and AB=CD
Source:
February 2, 2011
geometry
3D geometry
pyramid
geometry proposed
Problem Statement
Triangle
A
B
C
ABC
A
BC
with
∠
B
A
C
=
9
0
∘
\angle BAC=90^{\circ}
∠
B
A
C
=
9
0
∘
is the base of the pyramid
A
B
C
D
ABCD
A
BC
D
. Moreover,
A
D
=
B
D
AD=BD
A
D
=
B
D
and
A
B
=
C
D
AB=CD
A
B
=
C
D
. Prove that
∠
A
C
D
≥
3
0
∘
\angle ACD\ge 30^{\circ}
∠
A
C
D
≥
3
0
∘
.
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