Right Isosceles triangle: solve for the length of the unknown legs

[urekmazino]

For a right isosceles triangle (45-45-90) of hypotenuse 1, solve for the length of the unknown legs. Give an exact answer and rationalize the denominator in the final answer.

 

[kaliprasad]

kindly in form what you have tried so that we can help you

 

[HOI]

Call the length of each leg "x" and set up the Pythagorean theorem. Solve for x.