Question

Line LM is the midsegment of trapezoid ABCD. If AB = 46 and DC = 125, what is LM?thank you ! :)

Answer 1

ANSWER

$LM=85.5$

EXPLANATION

The length of the midsegment of a trapezoid is equal to half the sum of the lengths of the two bases of the trapezoid.

This implies that:

$LM=\frac{1}{2}(AB+DC)$

Therefore, the length of LM is:

$\begin{gathered} LM=\frac{1}{2}(46+125)=\frac{1}{2}*171 \\ LM=85.5 \end{gathered}$

That is the answer.