Question

If the sides of a right-angled quadrilateral are 24 cm and 7 cm, what is the length of its diagonal? *​

Answer 1

Answer:

25 cm

Step-by-step explanation:

The diagonal and the two sides of the quadrilateral will form a right-angled triangle.

The diagonal will be the hypotenuse.

${(base)}^{2} + {(height)}^{2} = {(hypotenuse)}^{2}$

${(24)}^{2} + {(7)}^{2} = {(hypotenuse)}^{2}$

$576 + 49 = 625$

$625 = {(hypotenuse)}^{2}$

$hypotenuse = \sqrt{625} = 25$

Hypotenuse = Diagonal = 25 cm.