Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
In , it is given that . Let be the midpoint of…
MATHEMATICS · Multi-part · CBSE · Mathematics · Triangles · Triangles
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
, it is given that
A
B
=
A
C
AB = AC
A
B
=
A
C
. Let
D
D
D
be the midpoint of
B
C
BC
B
C
. (a) Prove that
△
A
B
D
≅
△
A
C
D
\triangle ABD \cong \triangle ACD
△
A
B
D
≅
△
A
C
D
. (b) Show that
A
D
⊥
B
C
AD \perp BC
A
D
⊥
B
C
. (c) Show that
A
D
AD
A
D
bisects
∠
A
\angle A
∠
A
. Explain your reasoning in each step.
Related theory
Properties of Triangles
Triangle Properties
Triangle Congruence
Triangle Congruence Criteria
Triangles
Browse the problem library