MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
JHMT problems
2015 JHMT
7
2015 JHMT Geometry #7
2015 JHMT Geometry #7
Source:
September 5, 2023
geometry
Problem Statement
Triangle
A
B
C
ABC
A
BC
is isoceles with
A
B
=
A
C
AB = AC
A
B
=
A
C
. Point
D
D
D
lies on
A
B
AB
A
B
such that the inradius of
A
D
C
ADC
A
D
C
and the inradius of
B
D
C
BDC
B
D
C
both equal
3
−
3
2
\frac{3-\sqrt3}{2}
2
3
−
3
. The inradius of
A
B
C
ABC
A
BC
equals
1
1
1
. What is the length of
B
D
BD
B
D
?
Back to Problems
View on AoPS