Answer: 4
Step-by-step explanation:
The area of a trapezoid is given by :
[tex]A = \frac{1}{2}(a+b)h[/tex]
where [tex]a[/tex] and [tex]b[/tex] are the parallel sides
h is the height .
Substituting into the formula , we have :
[tex]26 = \frac{1}{2}(5+8)h[/tex]
multiply through by 2
[tex]52 = (5+8)h[/tex]
[tex]52 = 13h[/tex]
divide through by 13
[tex]4 = h[/tex]
Therefore; height of the trapezoid = 4
