Question

A certain television is advertised as a 29-inch TV (the diagonal length). If the width of

the TV is 20 inches, how many inches tall is the TV?

Answer 1

21 inches

Explanation:

refer to attached graphics

we can find the height by the Pythagorean theorem.

diagonal² = width² + height²

height² = diagonal² - width²

we are given that diagonal = 29" and width = 20", hence

height² = 29² - 20²

height² = 841 - 400

height² = 441

height = √441 = 21 inches