Question

if the area of square is 392 sq.cm, then it's diagnol is​

Answer 1

Let a be the side of a square

. Then area = a^2 = 392.

When the side = a, the diagonal = a rt2. Therefore, diagonal squared = 2a^2 = 2(392) since a^2 = 392.

• So, diagonal squared 2(392) = 2(2)(14)(14).

✍Hence, diagonal = 2(14)=28.

⟹ 28 is the answer

Answer 2

Answer:

28 cm

Step-by-step explanation:

Area given=392 sq cm

Area of square = side × side

side×side=392

side=

$14 \sqrt{2}$

Now we got the length of the side.

square makes 90 degree angles

Therefore, By using Pythagoras Theorem,

Length of the diagonal will be 28 cm