Question

The diagonal of a square is equal to ✓2 times the length of any side.
Therefore, diagonal of the square
= ✓2 × length of side
= ✓2 a
= ✓2 × 17 inches
= 1.414 × 17 inches (✓2 = 1.414)
= 24.09 inches
But the length of the diagonal is given as 18.79 inches which is not equal to the calculated length of the diagonal of the square. Please explain in simple terms, it’s stressing me out kinda

Answer 1

In order for a shape to be a square, it needs to have four equal sides, with its diagonal equal to sqrt(2) * the length of one side

The example problem gives you side length = 17, so the diagonal must be sqrt(2) * 17 or about 24.09 inches like the problem states.

Because the actual diagonal is only 18.79 your shape is not a square.