Question 599656
Since we're dealing with a square, a = b


a^2 + b^2 = c^2


a^2 + a^2 = 6^2


2a^2 = 36


a^2 = 36/2


a^2 = 18


a = sqrt(18)


a = 3*sqrt(2)


a = 4.2426



Answer to the nearest tenth:  <font color="red">4.2 centimeters</font>


Answer in simple radical form:  *[Tex \LARGE 3\sqrt{2}] centimeters.