Question

if the diagonal of a rectangle is 25 cm and one side is 7 cm then find the other side​

Answer 1

• It is given that the diagonal of rectangle is 25 cm and also one side of the rectangle is given to be 7 cm.

• We have to find the other side of the rectangle.

        Let the other side be 'x'

We know that the relation between diagonal and sides of rectangle is

Diagonal = $\sqrt{length^{2} + breadth^{2} }$

Putting the values in the formula

25 = $\sqrt{7^{2} +x^{2} }$

625 = 7² + $x$²

625-49 =  $x$²

576 =  $x$²

$x$= 24

The other side of the rectangle will be 24 cm.

Answer 2

Given that:- Diagonal of a rectangle is $25cm.$

and one of its sides is $7cm.$

To find:- The other side

Assume the other side be 'x',

We know, the formula for diagonal

Diagonal = $\sqrt{(length)^{2} *(breadth)^{2} }$

As, we have diagonal is $25$ cm,

Length is $7$ cm and breadth is $x$

By putting the values in the formula,

⇒ $25=\sqrt{(7)^{2}+(x)^{2} }$

By giving square root on both sides,

⇒ $625=7^{2} +x^{2}$

⇒ $625-49=x^{2}$

⇒ $576=x^{2}$

⇒ $x=24$

The other side for the rectangle is $24$ cm.