Question

A square has a side length of 4 cm. What is the length of the diagonal of the square? What is the length from the corner to the center of the square?

Answer 1

The length of the diagonal of the square is the square root of 32 which equals approximately 5.6569.
The length from the corner to the center of the square is half of the diagonal which is 2.8284. I hope this helps!

Answer 2

The length of the diagonal is 4√2 cm

The length from the corner to the centre of the square is 2√2 cm

Properties of a square :

• All sides are equal to each other

• All the interior angles are 90 degree each
• The diagonal bisect each other at right angle.

Therefore, the length of the diagonal can be found using Pythagoras theorem as follows;

c² = a² + b²

where

c = hypotenuse(diagonal)

a and b are the other legs

Therefore,

c² = 4² + 4²

c = √32

c = 4√2 cm

The length form the corner to the centre of the square is half of the diagonal. Therefore,

• 4√2 / 2 = 2√2 cm

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