a square has a diagonal of 4.5m. Find the length of one side

Question

 the answer is 2x squared=20.5 x=3.2m How did it get that answer

 

Answer 1

The diagonal cuts the square into two right triangles with the diagonal

being the hypotenuse of either.

 

Using the Pythagorean Theorem:  a² + b² = c² where a, b are side length

and c is the hypotenuse

 

Let the side lengths of the square be x

 

x² + x² = 4.5²

2x² = 20.25

x² = 20.25/2

x² = 10.125

x = √10.125

x = 3.182 m