Question

The size of a computer monitor is the length of its diagonal. You want to buy a 19-in. monitor that has a height of 11 in. What is the width of the monitor? Round to the nearest tenth of an inch.

Answer 1

15.5 inches

Explanation:

Using the Pythagorean theorem; The square of the hypotenuse is equal to the sum of the squares of the two adjacent sides

The diagonal is the longest side of a rectangle so it becomes the hypotenuse

Let w represent the width

19^2 = 11^2 + w^2

19^2 - 11^2 = w^2

361 - 121 = w^2

240 = w^2

w =
`√(240)`

w = 15.5 inches