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Old Kyiv MO Geometry
Kyiv City MO 1984-93 - geometry
1993.8.3
MB_1 = MA_1 id <ACB=60^o, angle bisectors 1993 Kyiv City MO 8.3
MB_1 = MA_1 id <ACB=60^o, angle bisectors 1993 Kyiv City MO 8.3
Source:
July 20, 2021
geometry
angle bisector
equal segments
Problem Statement
In the triangle
A
B
C
ABC
A
BC
,
∠
.
A
C
B
=
6
0
o
\angle .ACB = 60^o
∠.
A
CB
=
6
0
o
, and the bisectors
A
A
1
AA_1
A
A
1
and
B
B
1
BB_1
B
B
1
intersect at the point
M
M
M
. Prove that
M
B
1
=
M
A
1
MB_1 = MA_1
M
B
1
=
M
A
1
.
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