What is the length of the sides of the cheesboard.

Question

cheeseboard has diagnols of lengths 40cm. use the phythogrean theorem to solve.   

Answer 1

c²=a²+b²

a chessboard is a square so a=b

c²=a²+a²

c²=2a²

40²=2a²

1600=2a²

800=a²

a=√800=√400*2=20√2 cm for the sides