Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
In , and are the midpoints of and respectively, and is the midpoint of . What is the…
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
,
D
D
D
and
E
E
E
are the midpoints of
A
B
AB
A
B
and
A
C
AC
A
C
respectively, and
F
F
F
is the midpoint of
D
E
DE
D
E
. What is the ratio of the area of
△
A
D
F
\triangle ADF
△
A
D
F
to the area of
△
A
B
C
\triangle ABC
△
A
B
C
? (a)
1
6
\dfrac{1}{6}
6
1
(b)
1
16
\dfrac{1}{16}
16
1
(c)
1
8
\dfrac{1}{8}
8
1
(d)
1
4
\dfrac{1}{4}
4
1
Related theory
Quadrilaterals
Areas of Similar Triangles
Similarity
Triangles
Browse the problem library