Question

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

Answer 1

Answer:

109

Step-by-step 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