Question

Find the diagonal of a square if its area is 144cm square

Answer 1

Answer:

12√2 cm

Step-by-step explanation:

Area of Square = 144 Sq. cm.

So side of square = √144 = 12 cm.

In a square, adjacent sides are at right angle to each other.

using Pythagoras theorem,

hypotenuse² = side² + side²

                      = (12)² + (12)² = 288

hypotenuse = √288 = 12√2 cm.

Thus diagonal of square = 12√2 cm

Answer 2

Answer:

area=144

Side =v144=12cm

diogonal=V2 a=v2x12 = 12v2cm

12x1.414=16.968cm