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bayosanuade

Answer:19

Step-by-step explanation:The midsegment of a trapezoid connects the midpoints of the two congruent sides of the trapezoid, and is parallel to the pair of parallel sides.Therefore , to find the length of the midsegment , all we need do is to add the two bases together and divide by two , that is :

Length of mid segment = [tex]\frac{14+24}{2}[/tex]

Length of mid segment = [tex]\frac{38}{2}[/tex]

Length of mid segment = 19

MrRoyal

The midsegment of a shape divides the shape into equal segments

The midsegment of the trapezoid is 19

The lengths of the segments are given as:

[tex]A = 14[/tex]

[tex]B = 24[/tex]

Add up the segments as follows

[tex]Total = A+B[/tex]

So, we have:

[tex]Total = 14 + 24[/tex]

[tex]Total = 38[/tex]

Divide both sides by 2, to calculate the midsegment

[tex]Mid = \frac{Total}2[/tex]

So, we have:

[tex]Mid = \frac{38}2[/tex]

Divide 38 by 2

[tex]Mid = 19[/tex]

Hence, the midsegment is 19

Read more about midsegments at:

https://brainly.com/question/7423948

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