SOLUTION: if you have a 45-90-45 triangle and you have the hypotenuse of 9√2 what is the measure of the missing leg?

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Question 624736: if you have a 45-90-45 triangle and you have the hypotenuse of 9√2 what is the measure of the missing leg?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

if you have a 45-90-45 triangle and you have the hypotenuse of 9√2 

what is the measure of the missing leghighlight%28x%29

Isoseles Rt triangle, 2 legs of equal length

Applying the Pythagorean Theorem:

  x^2 + x^2 = 162

     2x^2 = 162

      x^2 = 81

       x = 9   (Throwing away the negative solution for unit measure)