MathDB
Problems
Contests
Undergraduate contests
Brazil Undergrad MO
2018 Brazil Undergrad MO
17
17
Part of
2018 Brazil Undergrad MO
Problems
(1)
Calculate the value of AN
Source: Brazil Undergrad MO - Galois-Noether 2018 #17
11/26/2019
In the figure, a semicircle is folded along the
A
N
AN
A
N
string and intersects the
M
N
MN
MN
diameter in
B
B
B
.
M
B
:
B
N
=
2
:
3
MB: BN = 2: 3
MB
:
BN
=
2
:
3
and
M
N
=
10
MN = 10
MN
=
10
are known to be. If
A
N
=
x
AN = x
A
N
=
x
, what is the value of
x
2
x ^ 2
x
2
?
geometry
Brazilian Math Olympiad
college contests