Respuesta :

[tex]\begin{gathered} \text{Area of a trapezoid =}\frac{a\text{ +b}}{2}h \\ \end{gathered}[/tex][tex]\begin{gathered} Area=51cm^2 \\ a\text{ = 10cm } \\ b=7\operatorname{cm} \\ h\text{ = ?} \end{gathered}[/tex]

we must find b one of the parallel sides before proceeding to find h

from the diagram b = 7cm

[tex]\begin{gathered} \text{Area = }\frac{10\text{ +7}}{2}\times h \\ 51\text{ = }\frac{17}{2}\times h \end{gathered}[/tex][tex]\begin{gathered} 51\text{ x 2 = 17h} \\ h\text{ =}\frac{51\times2}{17} \\ h\text{ =6cm} \end{gathered}[/tex]