Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
A
(
1
,
2
)
A(1,2)
A
(
1
,
2
)
and
C
(
−
3
,
−
6
)
C(-3, -6)
C
(
−
3
,
−
6
)
be two diagonally opposite vertices of a rhombus, whose sides
A
D
AD
A
D
and
B
C
BC
B
C
are parallel to the line
7
x
−
y
=
14
7x - y = 14
7
x
−
y
=
14
. If
B
(
α
,
β
)
B(\alpha, \beta)
B
(
α
,
β
)
and
D
(
γ
,
δ
)
D(\gamma, \delta)
D
(
γ
,
δ
)
are the other two vertices, then
∣
α
+
β
+
γ
+
δ
∣
|\alpha + \beta + \gamma + \delta|
∣
α
+
β
+
γ
+
δ
∣
is equal to.
Browse the problem library