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Mathematics
Mathematics
Problem
In triangle
A
B
C
ABC
A
B
C
,
∠
B
=
90
∘
\angle B = 90^{\circ}
∠
B
=
9
0
∘
and the altitude from
B
B
B
meets
A
C
AC
A
C
at
D
D
D
. Which of the following relations is correct? a)
A
B
⋅
B
C
=
A
C
2
AB\,\cdot BC = AC^{2}
A
B
⋅
B
C
=
A
C
2
b)
A
D
⋅
D
C
=
A
B
2
AD\,\cdot DC = AB^{2}
A
D
⋅
D
C
=
A
B
2
c)
A
D
⋅
A
C
=
A
B
2
AD\,\cdot AC = AB^{2}
A
D
⋅
A
C
=
A
B
2
d)
A
D
⋅
A
C
=
B
C
2
AD\,\cdot AC = BC^{2}
A
D
⋅
A
C
=
B
C
2
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