Respuesta :
The answer is 14 centimeters.
The midsegment of a trapezoid has length equal to the average of the two base lengths. Since the base lengths of this trapezoid are 11 and 17 centimeters, our midsegment has length (11+17)/2 = 14 centimeters.
Solution :
Given that , the base lengths of a trapezoid are 11 cm and 17 cm.
The base of a trapezoid means the two parallel sides of the trapezoid.
A trapezoid midsegment connects the mid point of the congruent sides of the trapezoid and is parallel to the base .
The length of the midsegment is the sum of the length of two bases divided by two.
length of trapezoid midsegment = [tex]\frac{Sum\:of\:bases}{2}=\frac{17+11}{2}=14[/tex]
Hence, The length of midsegment of trapezoid is 14.
