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5
Junior Regional Olympiad - FBH 2018 Grade 6 Problem 5
Junior Regional Olympiad - FBH 2018 Grade 6 Problem 5
Source:
September 19, 2018
geometry
perimeter
altitude
Angle Chasing
Problem Statement
In triangle
A
B
C
ABC
A
BC
length of altitude
C
H
CH
C
H
, with
H
∈
A
B
H \in AB
H
∈
A
B
, is equal to half of side
A
B
AB
A
B
. If
∠
B
A
C
=
4
5
∘
\angle BAC = 45^{\circ}
∠
B
A
C
=
4
5
∘
find
∠
A
B
C
\angle ABC
∠
A
BC
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