Question

the area of a square is 5 centimetre square find the length of its diagonal​

Answer 1

We know,

Diagonal of a square = $s \sqrt{2}$

We are given that, length of side = 5 cm

∴ Diagonal = 5√2 cm (answer).

ALITER:-

Let diagonal = (x) cm

As per Pythagoras theorem,

(x)² = (5)² + (5)² = 2(5²)

⇒ x² = 50

⇒ x = √50

⇒ x = √(5² × 2)

⇒ x = 5√2 cm (answer).

More about diagonals:-

• Diagonal of cuboid = $\sqrt{l^2 + b^2 + h^2}$.
• Diagonal of cube = $s \sqrt{3}$.
• Diagonal of rectangle = $\sqrt{ l^2 + b^2 }$.
• Number of diagonals of a closed figure having 'n' number of sides is = $\frac{n(n - 3)}{2}$.