A square has sides of 10 units. There is a diagonal that divides it into two triangles of an unknown value. What is the value of this line? The answer is 10 square root of 2, but I thought it would be ten (10^2+10^2=100, the sq. root of 100 is 10) Where does the square root of two come from? Thank you, Jiskha!

10^2+10^2=200= 2*10^2

the square root of that is 10sQRT2