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Mathematics
Mathematics
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
, it is given that
A
B
=
A
C
AB = AC
A
B
=
A
C
. A point
D
D
D
lies on
B
C
BC
B
C
such that
A
D
⊥
B
C
AD \perp BC
A
D
⊥
B
C
. Answer the following: a. (i) Prove that
△
A
B
D
≅
△
A
C
D
\triangle ABD \cong \triangle ACD
△
A
B
D
≅
△
A
C
D
. b. (ii) Hence, show that
B
D
=
D
C
BD = DC
B
D
=
D
C
. c. (iii) State what
A
D
AD
A
D
does to base
B
C
BC
B
C
of
△
A
B
C
\triangle ABC
△
A
B
C
, giving one reason drawn from your proof above.
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