Question

Segment M N is the midsegment of trapezoid PQRS. Find PQ. Include units but do not capitalize.PQм,N24 in.S, R35 in.type your answer...type your answer...

Answer 1

The midsegment of a trapezoid is half the sum of the lengths of the two parallel sides.

We can write this as:

`MN=(PQ+SR)/(2)`

Then, we can find PQ as:

`\begin{gathered} MN=(PQ+SR)/(2) \\ 2\cdot MN=PQ+SR \\ PQ=2\cdot MN-SR \\ PQ=2\cdot24-35 \\ PQ=48-35 \\ PQ=13 \end{gathered}`

Answer: the length of PQ is 13 in.