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LMT
2021 LMT Spring
A8
A8
Part of
2021 LMT Spring
Problems
(1)
2021 LMT Spring Division A Problem 8
Source:
10/22/2021
Isosceles
△
A
B
C
\triangle{ABC}
△
A
BC
has interior point
O
O
O
such that
A
O
=
52
AO = \sqrt{52}
A
O
=
52
,
B
O
=
3
BO = 3
BO
=
3
, and
C
O
=
5
CO = 5
CO
=
5
. Given that
∠
A
B
C
=
12
0
∘
\angle{ABC}=120^{\circ}
∠
A
BC
=
12
0
∘
, find the length
A
B
AB
A
B
.Proposed by Powell Zhang