Answer: The answer is 10 inches.
Step-by-step explanation: Given that the area of a trapezoid is 50 square inches and the bases are 3 inches and 7 inches. We are to find the height of the trapezoid.
We know that the area of a trapezoid with height 'h' and bases 'a' inches and 'b' inches is given by
[tex]A=\dfrac{a+b}{2}h.[/tex]
In the given question,
a = 3 inches, b = 7 inches, A = 50 square inches, h = ?
Therefore,
[tex]50=\dfrac{3+7}{2}\times h\\\\\\\Rightarrow 50=5h\\\\\Rightarrow h=10.[/tex]
Thus, the required height is 10 inches.
