SOLUTION: if the hypotenuse of an isosceles triangle is 11 and the angles at the hypotenuse are 45 degrees, how long are the legs?

Question 528153: if the hypotenuse of an isosceles triangle is 11 and the angles at the hypotenuse are 45 degrees, how long are the legs?
Found 2 solutions by Alan3354, KMST:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
s = leg length

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Since "hypotenuse" is mentioned, it would be assumed to be a right triangle from the start. Being also isosceles, it is known that it will have two 45 degree angles on the hypotenuse, but it is reassuring that the problem says so.
Being an isosceles right triangle, the length of both legs is the same. Let's call it
Pythagoras' theorem says that in this case
so

and

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