Question

Find the length of the diagonal of a rectangle sides which are 12 cm and 5 cm​

Answer 1

Answer:

13 cm

Step-by-step explanation:

by using heron's formula in triangle ABC formed by joining diagonal AC of rectangle ABCD

AC²=AB²+BC²

= ROOT UNDER(12²+5²)

=ROOT UNDER ( 144+25)

=Root under(169)

=13cm

Answer 2

Answer:

13cms.

Step-by-step explanation:

Given,

Length of Rectangle = 12cms

Breath of Rectangle = 5cms

Let's

Name the Rectangle as ABCD

Now,

Take a triangle ABC where AC is the diagonal of Rectangle

We know that..

Sum of Angles of a rectangle is 360°

Each angle measures = 360°/4 => 90°

Here, Angle B = 90°

And ∆le ABC is a right angled triangle in which AC is the Hypothenuse

By Pythagoras Theorem

(Hypothenuse)² = (side)²+(side)²

=> (AC)² = (AB)²+(BC)²

=> (AC)² = 12²+5²

=> (AC)² = 144+25

=> (AC)² = 169

=> AC = √169

=> AC = 13.

The diagonal of given Rectangle is 13cms.