SOLUTION: I have a problem that I need help on. AC=16m AB=?m angle of a is 45 degrees angle of c is 45 degrees. Multiple choice 16square2, 8square2, neither of these. Thank you.

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Question 193894: I have a problem that I need help on. AC=16m AB=?m angle of a is 45 degrees angle of c is 45 degrees. Multiple choice 16square2, 8square2, neither of these. Thank you.
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
The triangle ABC has 2 45degree angles. That means the third angle (angle at c) is 90 degrees. Since two angles are equal, the sides opposite those angles are equal. Call their length L. You are told the hypotenuse is 16m
So use pythagorean theorem.
c%5E2+=+a%5E2+%2B+b%5E2
16%5E2+=+L%5E2+%2B+L%5E2
256+=+2L%5E2
128+=+L%5E2
sqrt%28128%29+=+L
sqrt%2864%2A2%29+=+L
8%2Asqrt%282%29+=+L