Question

What is PQ?

Enter your answer as a decimal in the box.

Answer 1

Since PQ bisects both MO and NO, it should be exactly 1/2 of the far parallel side.
PQ = 1/2 MN
PQ = 1/2×14.4 = 7.2

Answer 2

`\boxed{\boxed{PQ=7.2}}`

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,

`PQ=(1)/(2)MN`

`=(1)/(2)* 14.4`

`=7.2`

Therefore, the length of PQ is 7.2 units.