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Durer Math Competition
Durer Math Competition CD 1st Round - geometry
2018.C+2
2018.C+2
Part of
Durer Math Competition CD 1st Round - geometry
Problems
(1)
angles wanted, right isosceles related 2017-18 Dürer Round1 C+2
Source:
12/9/2022
In an isosceles right-angled triangle
A
B
C
ABC
A
BC
, the right angle is at
A
A
A
.
D
D
D
lies so on the side
B
C
BC
BC
that
2
C
D
=
D
B
2CD = DB
2
C
D
=
D
B
. Let
E
E
E
be the projection of
B
B
B
onto
A
D
AD
A
D
. What is the measure fof angle
∠
C
E
D
\angle CED
∠
CE
D
?
geometry
isosceles
right triangle
angles