mathematical equation

Question

Ava is looking to purchase a new TV. She is looking at one that states it is 55 inches. TV screens are measured by the TV screen diagonal. If the TV screen measures 27 inches high, what is the width of the TV screen to the nearest tenth of an inch?   

Answer 1

the diagonal 55 is the hypotenuse of a right triangle

27 is the height

the width is the base

hypotenuse squared = height squared + base squared

55^2 = 27^2 + b^2

b^2 = 3025 - 729= 2296

b = sqr2296 = 47.9 inches