Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Triangle
A
B
C
ABC
A
B
C
has vertices
A
(
2
,
3
)
A(2,3)
A
(
2
,
3
)
,
B
(
8
,
7
)
B(8,7)
B
(
8
,
7
)
and
C
(
4
,
−
1
)
C(4,-1)
C
(
4
,
−
1
)
. The points
D
D
D
,
E
E
E
and
F
F
F
are the mid-points of
B
C
BC
B
C
,
C
A
CA
C
A
and
A
B
AB
A
B
respectively. a. (i) Find the area of
△
A
B
C
\triangle ABC
△
A
B
C
. b. (ii) Find the area of
△
D
E
F
\triangle DEF
△
D
E
F
. c. (iii) Hence determine the ratio
area
(
△
A
B
C
)
area
(
△
D
E
F
)
\displaystyle \dfrac{\text{area}(\triangle ABC)}{\text{area}(\triangle DEF)}
area
(
△
D
E
F
)
area
(
△
A
B
C
)
.
Browse the problem library