This is a right triangle situation where the diagonal of the TV serves as the hypotenuse and the width as the base. Use Pythagorean's Theorem to solve for the missing height. [tex] 74^2-70^2=a^2 [/tex] so [tex] 5476-4900=a^2 [/tex]. That means that [tex] a^2=576 [/tex] and a = 24 inches. The height is 24 inches.