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Mathematics
Mathematics
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
,
A
B
=
A
C
AB = AC
A
B
=
A
C
and
D
D
D
is the midpoint of
B
C
BC
B
C
. (a) Show that
△
A
B
D
≅
△
A
C
D
\triangle ABD \cong \triangle ACD
△
A
B
D
≅
△
A
C
D
. (b) Prove that
A
D
⊥
B
C
AD \perp BC
A
D
⊥
B
C
. (c) Hence, justify that
A
D
AD
A
D
is the perpendicular bisector of
B
C
BC
B
C
.
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