Answer :

The length of a side of the square is 9 centimeters. The length of the diagonal is 12.73 centimeters.

What is the length of the side and diagonal?

A square is an object that has four sides of equal length. A square has two diagonals that biscect each other at 90°. The diagonals are of equal length. The diagonals of a square divide the square into two right triangles.

Area of a square = length²

Length = √area

√81 = 9cm

Pythagoras theorem can be used to determine the length of the diagonal.

The Pythagoras theorem: a² + b² = c²

Where:

  • a = length
  • b = base
  • c = hypotenuse

9²  + 9²

= 81 + 81

= √162 = 12.73 cm

To learn how to determine the length of a square given its area, please check: https://brainly.com/question/9030544

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