Respuesta :

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

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