Draw perpendicular AB from the top left vertex to the base
Let C be the bottom left vertex of the trapezoid
Then triangle ABC is a right triangle with AC the hypotenuse and BC a leg
Note that BC = 8 - 5 = 3
So....the missing side [ the height of the trapezoid ] is
√[ AC^2 - BC^2] = √[7^2 - 3^2] = √[49 - 9 ] = √40 = 2√10