Answer-
[tex]\boxed{\boxed{PQ=7.2}}[/tex]
Solution-
Triangle Midpoint Theorem-
The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
As in the question it is given that,
OQ = MQ, so Q is the mid point of MO,
OP = NP, so P is the mid point of NO.
Hence, PQ is the line joining the midpoints of MO and NO.
Applying Triangle Midpoint Theorem,
[tex]PQ=\dfrac{1}{2}MN[/tex]
[tex]=\dfrac{1}{2}\times 14.4[/tex]
[tex]=7.2[/tex]
Therefore, the length of PQ is 7.2 units.
