Question

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

Answer 1

`LM=85.5`

Step-by-step 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=(1)/(2)(AB+DC)`

Therefore, the length of LM is:

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

That is the answer.