Question

how to find the breadth of a rectangle when length and diagonal is given? pls help ​

Answer 1

Answer:

Answer:by Pythagoras theorem

Step-by-step explanation:

because each angle of a rectangle is 90°

Step-by-step explanation:

hope it helps ....

Answer 2

$\bf\bigstar{Question}$

How to find the breadth of a rectangle when length and diagonal is given?

$\bf\bigstar{Answer}$

Given :

Length and diagonal of a rectangle.

To find :

Breadth of the rectangle.

Solution :

We need to find the breadth of the rectangle.

Already we have length and diagonal.

As in the figure,

We can see a triangle is formed , diagonal as the base.

By pythagoras theorem,

AB² + BC² = AC²

Here,

We can take Length = AB².

Diagonal = AC²

∴ Breadth = BC ²

BC² = AC² - AB².

BC = √(AC²-AB²)

ie,

Breadth² = ( Diagonal ² - Length²)

Breadth = √( Diagonal ² - Length²)

So the formula to calculate breadth when length and diagonal of a rectangle is given is,

$\huge{\boxed{\bf{Breadth= \sqrt{ (Diagonal^2-Length^2)}}}}$

Hope it helps u dear !! ♥