SOLUTION: Find the remaining sides of a 45° -45° -90° If the longest side is 4.

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Question 1145479: Find the remaining sides of a 45° -45° -90° If the longest side is 4.
Answer by ikleyn(52832) About Me  (Show Source):
You can put this solution on YOUR website!
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Let x be the side length of any of the two remaining sides.


    These sides are of equal lengths, since the triangle is isosceles.


Then


    x^2 + x^2 = 4^2   (Pythagorean theorem)


    2x^2      = 16

     x^2      = 16/2 = 8

     x              = sqrt%288%29 = 2%2Asqrt%282%29.      ANSWER