Question

If the length of a rectangle is 3 and the width is 2, the length of the diagonal is

Answer 1

Answer:

use this formula

Step-by-step explanation:

$biaginal = \sqrt{ {3}^{2} + {2}^{2} }$

you will get answer

Answer 2

The length if the diagonal is √13.

Step-by-step explanation:

All the angles of a rectangle are 90°.

The triangle formed by the length, breadth and diagonal of a rectangle is a right angles triangle.

According to the Pythagoras theorem,

$Hypotenuse^{2}=Perpendicular^{2}+Base^{2}$

Given:

Perpendicular = width = 2

Base = length = 3

Hypotenuse = diagonal = x

Compute the value of x as follows:

$Hypotenuse^{2}=Perpendicular^{2}+Base^{2}\\x^{2}=2^{2}+3^{2}\\x=\sqrt{4+9}\\x=\sqrt{13}$

Thus, the length if the diagonal is √13.