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Mathematics
Mathematics
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
,
∠
B
=
90
∘
\angle B = 90^\circ
∠
B
=
9
0
∘
. The altitude from
B
B
B
meets
A
C
AC
A
C
at
D
D
D
. It is given that
D
D
D
is the midpoint of
A
C
AC
A
C
. a. (i) Prove that
△
A
B
D
≅
△
C
B
D
\triangle ABD \cong \triangle CBD
△
A
B
D
≅
△
C
B
D
. b. (ii) Hence show that
A
B
=
B
C
AB = BC
A
B
=
B
C
. c. (iii) Classify
△
A
B
C
\triangle ABC
△
A
B
C
on the basis of its sides.
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