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2022-23 IOQM India
23
IOQM 2022-23 P-23
IOQM 2022-23 P-23
Source:
October 30, 2022
geometry
ratio
IOQM
trigonometry
Ratio Lemma
Problem Statement
In a triangle
A
B
C
ABC
A
BC
, the median
A
D
AD
A
D
divides
∠
B
A
C
\angle{BAC}
∠
B
A
C
in the ratio
1
:
2
1:2
1
:
2
. Extend
A
D
AD
A
D
to
E
E
E
such that
E
B
EB
EB
is perpendicular
A
B
AB
A
B
. Given that
B
E
=
3
,
B
A
=
4
BE=3,BA=4
BE
=
3
,
B
A
=
4
, find the integer nearest to
B
C
2
BC^2
B
C
2
.
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