Question

What is PQ? Enter your answer as a decimal in the box.

Answer 1

Answer-

$\boxed{\boxed{PQ=7.2}}$

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,

$PQ=\dfrac{1}{2}MN$

$=\dfrac{1}{2}\times 14.4$

$=7.2$

Therefore, the length of PQ is 7.2 units.

Answer 2

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