Question

Adjacent sides of a rectangle are 7cm and 24cm. Find the length of its diagonal

Answer 1

Let length of diagonal =d cm
$d {}^{2} = 7 {}^{2} + 24 {}^{2}$
$d {}^{2} = 49 + 576$
$d {}^{2} = 625$
$d = 25cm$

Answer 2

Here's the answer

Refer the attachment for the figure.

Let ABCD be a rectangle.

In ∆ABC ,

Angle B = 90°

$\sf { AC^2 = AB^2 + BC^2} ... Pythagoras \: theorem$

= $\sf { 7^2 + 24^2 }$

= 49 + 576

= 625

AC = √625

AC = 25 cm

The length of the diagonal is 25 cm.

Thanks!!