Question

the sum of length of fhe diagonals of a squarw is 30 cm find its area​

Answer 1

Answer:

450 cm²

Step-by-step explanation:

Given, Diagonal = AC = d = 30 cm, Side = a = ?

Δ ACB is a right angled triangle, with hypotenuse, d

Using Pythagoras Theorem,

d² = a² + a²

30² = 2a²

a² = 900 / 2

a² = 450

a = \sqrt{450}

450

So, the length of the side of the square is \sqrt{450}

450

.

Area of a square = side * side

= a²

= ( \sqrt{450}

450

)²

= 450 cm²

SO, the area of the square is 450 cm².