Question

The length of the sides of a rectangle are 60 and 91 centimeters. The is the length of the diagonal?

Answer 1

109

Explanation:

Given that the figure is a rectangle, then the diagonal and two sides will form a right triangle. This means that the Pythagorean theorem can be applied. The Pythagoren theorem states;

`a^(2) + b^(2) = c^(2)`

Where (a) and (b) are the legs or sides, and (c) is the hypothenuse also known as the diagonal or side opposite the right angle.

Substitute;

`a^(2) + b^(2) = c^(2)\\\\60^(2) +91^(2) = c^(2)\\\\3600+8281=c^(2)\\\\11881=c^(2)\\\\109=c`

Answer 2

use Pythagoras

D=

`d = \sqrt{60 { }^(2) } + 91 {}^(2)`

Diagonal =109 cm