SOLUTION: Is it possible to find two legs of a triangle if you only have a hypotenuse. Both legs must be the same length

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Question 899734: Is it possible to find two legs of a triangle if you only have a hypotenuse. Both legs must be the same length
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The answer to the question is NO.
If you are adding the condition that both legs are of equal length, then your question changes to , "Is it possible to find two legs of equal length in a triangle if you know the hypotenuse?"
This answer becomes, YES.

The first case is x%5E2%2By%5E2=c%5E2 for hypotenuse length c being known.
x and y are unknown variables.

The second case is x%5E2%2By%5E2=c%5E2 for hypotenuse length c being known and x=y.
You can assign another variable to x and y, such as L=x and L=y; and then you have
L%5E2%2BL%5E2=c%5E2
2L%5E2=c%5E2
L%5E2=%281%2F2%29c%5E2
L=c%2Fsqrt%282%29
L=c%2Asqrt%282%29%2F2, which is the result for x and for y.