Question

the diagonal of a square is 9 root 2 cm what is the side​

Answer 1

Answer:

9cm

Step-by-step explanation:

Diagonal of a square = √ 2 a

9 √2 = √2 a .... (cut out √2 from both the sides)

9 = a

therefore, the side of a square is 9 cm

Answer 2

The answer is 9cm

GIVEN

Diagonal of a square = 9√2 cm

TO FIND

The side of the square.

SOLUTION

We can simply solve the above problem as follows;

Let the side of the square = a

We know that the sides of a square are perpendicular to each other.

Therefore,

The diagonal and two sides of a square make a right angle triangle.

Where,

The sides of the square are base and altitude of the triangle and diagonal is the hypotenuse.

Applying Pythagoras theorem,

Diagonal² = Side² + Side²

(9√2)² = a² + a²

162 = 2a²

a² = 162/2 = 81

a = 9 cm

Hence, The answer is 9cm

#SPJ2