Question

17. The diagonal of a square is 30cm long, find its area.​

Answer 1

Step-by-step explanation:

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Answer 2

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 = $\sqrt{450}$

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

Area of  a square = side * side

= a²

= ( $\sqrt{450}$ )²

= 450 cm²

SO, the area of the square is 450 cm².