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Mathematics
Mathematics
Problem
If in a triangle,
A
B
=
a
\mathbf{AB} = \mathbf{a}
AB
=
a
,
A
C
=
b
\mathbf{AC} = \mathbf{b}
AC
=
b
and D, E are the mid-points of AB and AC respectively, then
D
E
\mathbf{DE}
DE
is equal to a.
a
4
−
b
4
\frac{\mathbf{a}}{4} - \frac{\mathbf{b}}{4}
4
a
−
4
b
b.
a
2
−
b
2
\frac{\mathbf{a}}{2} - \frac{\mathbf{b}}{2}
2
a
−
2
b
c.
b
4
−
a
4
\frac{\mathbf{b}}{4} - \frac{\mathbf{a}}{4}
4
b
−
4
a
d.
b
2
−
a
2
\frac{\mathbf{b}}{2} - \frac{\mathbf{a}}{2}
2
b
−
2
a
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