Question

In a computer catalogue, a computer monitor is listed as being 19 inches. This distance is the diagonal across the screen. If the height is 10 inches, what is the width to the nearest inch?

Answer 1

`3√(29)` or approximately 16.16

Explanation:

The diagonal (hypotenuse) mesures 19 inches.

The height of the computer monitor is 10 inches.

Use the Pythagorean theorem:

a and b are the triangle's legs

h is the hypotenuse

`a^(2) + b^(2) = c^(2)\\ \\a^(2) + 10^(2) = 19^(2)\\ \\361 - 100 = a^(2)\\ \\a = √(261) \\\\a = 3√(29)`