Question

how to find breadth of a rectangle if the diagonal and length is given​

Answer 1

Let consider ABCD is the mentioned rectangle.

According the question diagonal and length is given.

we have to find out it's breadth.

It is known that a diagonal divides a rectangle in to two right angled Δ

We have taken rectangle ABCD , AC diagonal divides it into two right angled triangles,

Here we will work on right angled  Δ ADC. in this triangle:-

length = DC,           ( known)

Diagonal = AC         ( known )

Breadth = AD = we have to find out it.

In Δ ADC:-

∠ ADC= 90°

∴ AC = hypotenuse = H

AD = Breadth =B

DC= Length =L

here we will apply Pythagoras  theory.

(Hypotenuse)² = ( Length)² + ( Breadth)²

( Breadth)² =(Hypotenuse)²- ( Length)²

B² =H² +L²

B = ( √H² +√ L²)

Hence this is the way to find breadth of a rectangle if the diagonal and length is given​.

Ans :-This is the way to find breadth of a rectangle if the diagonal and length is given​.

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Answer 2

Answer: D=$\sqrt{l^{2}+b^{2} }$

Step-by-step explanation:

• In a rectangle if we divide it into two parts diagonally we get two right angle triangles and diagonal is the hypotenuse of each of the triangles.
• So, by applying pythagoras theorem we find the hypotenuse of the triangle and we will get the diagonal.
• Let hypotenuse=diagonal= D.
• So, D=$\sqrt{l^{2}+b^{2} }$ , where l=length of rectangle and b=breadth of rectangle.
• hence, diagonal (D)=$\sqrt{l^{2}+b^{2} }$ .

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