Answer:
[tex]h = \sqrt{72}in[/tex]
Step-by-step explanation:
We have a right triangle with long side of 11in and smaller sides 14in/2=7in and h.
We know that
[tex]h^2 + (7in)^2 = (11in)^2\\h^2 = 121in^2 - 49in^2 = 72in^2\\h = \sqrt{72}in[/tex]
