Question

A certain television is advertised as a 74-inch TV (the diagonal length). If the width of the TV is 70 inches, how many inches tall is the TV?

Answer 1

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.
`74^2-70^2=a^2` so
`5476-4900=a^2`. That means that
`a^2=576` and a = 24 inches. The height is 24 inches.