Question

The sides of a rectangle are 12m and 5m. What is the length of the diagonal ?​

Answer 1

Step-by-step explanation:

Let the given rectangle be ABCD

Given:

length of rectangle AC = 12 m

breadth of rectangle AB = 5 m

To find :

length of diagonal AC = ?

Solution :

Angle B = 90° .... [Angle of a rectangle]

In ∆ABC , angle B = 90°

By Pythagoras' theorem

AB^2 + BC^2 = AC^2

5 ^2 + 12 ^2 = AC^2

25 + 144 = AC^2

AC^2 = 169

AC = √169

AC = 13 m

therefore the length of the diagonal is AC=13m