Question

A square has a diagonal measuring 19 centimeters in length.which of the following is closest to the length of each side of the square?

Answer 1

13cm

Explanation:

Let the length of each side be x;

Using the pythagoras theorem

l² = x² + x²

l is the length of the diagonal

l² = 2x²

19² = 2x²

361 = 2x²

x² = 361/2

x² = 180.5

x =√180.5

x = 13

hence the length of each side of the square is closest to 13cm