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Mathematics
Mathematics
Problem
Let
A
B
C
ABC
A
B
C
be a right triangle with length of side
A
B
=
3
AB = 3
A
B
=
3
and hypotenuse
A
C
=
5
AC = 5
A
C
=
5
. If
D
D
D
is a point on
B
C
BC
B
C
such that
B
D
D
C
=
A
B
A
C
\frac{BD}{DC} = \frac{AB}{AC}
D
C
B
D
=
A
C
A
B
, then
A
D
AD
A
D
is equal to a.
4
3
3
\frac{4\sqrt{3}}{3}
3
4
3
b.
3
5
2
\frac{3\sqrt{5}}{2}
2
3
5
c.
4
5
3
\frac{4\sqrt{5}}{3}
3
4
5
d.
5
3
4
\frac{5\sqrt{3}}{4}
4
5
3
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