Question

The diagonal of a square is 20 cm find the side of the square and its perimeter

Answer 1

Answer:

Each side = 24√2 cm

Perimeter = 96√2 cm

Step-by-step explanation:

Diagonal of square = 48 cm

In a square, sides are equal.

Let each side = x

By pythagoras theorem,

(Perpendicular² + Base²) = Hypotenuse²

(x² + x²) = 48²

⇒(2x²) = 48²

⇒(√2)x = 48

⇒x = (48√2)/2

⇒x = 24√2

∴ Each side = 24√2 cm

∴ Perimeter = 4 * Side

                    = 4 * 24√2 cm

                    = 96√2 cm