Answer:
The Length of other side of Trapezoid is 13 inches
Step-by-step explanation:
Given as :
The length of the one base of trapezoid = L = 19 inches
The length of the mid segment = M = 16 inches
Let The length of other side = L' inches
Now, From trapezoid formula
The length of mid segment = [tex]\frac{1}{2}[/tex] × ( sum of opposite sides )
So, M = [tex]\frac{1}{2}[/tex] × ( L + L' )
or, 16 inches = [tex]\frac{1}{2}[/tex] × ( 19 inches + L' )
Or, 16 inches × 2 = 19 inches + L'
Or, 32 inches = 19 inches + L'
∴ L' = 32 inches - 19 inches
I.e L' = 13 inches
So, measure of other side = L' = 13 inches
Hence, The Length of other side of Trapezoid is 13 inches Answer