Respuesta :

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