Question

the side of a rectang field are 60m and 11m respectively. find the length of its diagonal

Answer 1

Hey...!!!

The length of a rectangular field = 60m
The Breadth of the rectangular field = 11m
So, Its diangonal forms a right angled triangle...
With base = 60m and,
Height = 11m
${h }^{2} = {b}^{2} + {i}^{2}$
${h}^{2} = {60}^{2} + {11}^{2}$
${h}^{2} = 3600 + 121$
${h}^{2} = 3721$
$h = 61$
Therefore diagonal = 61m

Answer 2

Answer:

The measure of the diagonal is 61 m.

Step-by-step explanation:

Given :

Sides of the rectangle = 60 m and 11 m

To find :

The length of the diagonal

Solution :

$\textsf{\underline{\underline{Solving by Pythagoras theorem - }}}$

In ∆ ACD -

• Height : AC = 11 m
• Base : CD = 60 m
• Hypotenuse : AD = ??

Let the Hypotenuse be as x.

★ (Hypotenuse)² = (Base)² + (Height)²

⇒ x² = 60² + 11²

⇒ x² = 3600 + 121

⇒ x² = 3721

⇒ x = $\tt{\sqrt{3721}}$

⇒ x = 61

Hypotenuse = 61 m

$\therefore$ The measure of the diagonal is 61 m.