MathDB
Problems
Contests
National and Regional Contests
Bosnia Herzegovina Contests
Junior Regional - Federation of Bosnia Herzegovina
2017 Junior Regional Olympiad - FBH
2
Junior Regional Olympiad - FBH 2017 Grade 7 Problem 2
Junior Regional Olympiad - FBH 2017 Grade 7 Problem 2
Source:
September 20, 2018
geometry
quadrilateral
Problem Statement
In quadrilateral
A
B
C
D
ABCD
A
BC
D
holds
A
B
=
6
AB=6
A
B
=
6
,
A
D
=
4
AD=4
A
D
=
4
,
∠
D
A
B
=
∠
A
B
C
=
6
0
∘
\angle DAB=\angle ABC = 60^{\circ}
∠
D
A
B
=
∠
A
BC
=
6
0
∘
and
∠
A
D
C
=
9
0
∘
\angle ADC = 90^{\circ}
∠
A
D
C
=
9
0
∘
. Find length of diagonals and area of the quadrilateral
Back to Problems
View on AoPS