Question

Each diagonal of a square is 14 cm long. Its area is

Answer 1

i hope answer is 98

Answer 2

aloha!

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we know that area of square is side × side
but what we are given is just diagonal.
we can find the sides of the square by applying the Pythagoras theorem.

which is:

H^2 = P^2 + B^2
( H × H = P × P + B × B )
14^2 = P^2 + P^2.( since the sides of square are equal )

14 × 14 = 2P^2
196/2 = P^2
98 = P^2
P = √98
P = 7√2 cm = sides of square.

now, area of square = side × side
= 7√2 × 7√2
=49 × 2
= 98
${ cm}^{2}$
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hope it helps :)