Answer:
LM = 12.1
Step-by-step explanation:
Trapezoid
The midsegment (also known as the median or midline) of a trapezoid is the segment that joins the midpoints of the legs.
The midline is parallel to the bases a and b and its length m is equal to the average of the lengths of the bases of the trapezoid:
[tex]\displaystyle m = \frac{a + b}{2}[/tex]
Since JP and PM are congruent and KQ and QL are congruent, PQ is the midline of the trapezoid JKLM.
We are given the midline m=11.4 and one of the bases a=10.7. We can find the other base by solving for b:
b = 2m - a
b = 2*11.4 - 10.7
b = 12.1
LM = 12.1
