Question

a rectangle bookcase 60 inched long and 30 inches wide. how long is the diagonal? round to the nearest inch

Answer 1

It will be roughly 67.08 inches.

We can solve this using the Pythagorean Theorem, which is listed below. 

$a^{2} + b^{2} = c^{2}$

In this equation, we use a and b as legs of a triangle and c is the hypotenuse. We can treat the length and height of the bookcase as legs and use this equation to solve for the diagonal (also known as the hypotenuse)

$30^{2} + 60^{2} = c^{2}$

$900 + 3600 = c^{2}$

$4500 = c^{2}$

67.08 = c