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National High School Mathematics League
1988 National High School Mathematics League
8
Triangle Problem
Triangle Problem
Source: 1988 National High School Mathematics League, Exam One, Problem 8
February 25, 2020
Problem Statement
In
△
A
B
C
\triangle ABC
△
A
BC
,
∠
A
=
α
\angle A=\alpha
∠
A
=
α
,
C
D
,
B
E
CD,BE
C
D
,
BE
are height on sides
A
B
,
A
C
AB,AC
A
B
,
A
C
. Then
∣
D
E
∣
∣
B
C
∣
=
\frac{|DE|}{|BC|}=
∣
BC
∣
∣
D
E
∣
=
________.
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