SOLUTION: How would you solve a 90 45 45 triangle if you knew the hypotenuse was 12?

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Question 269259: How would you solve a 90 45 45 triangle if you knew the hypotenuse was 12?
Found 2 solutions by Alan3354, dabanfield:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Using Pythagoras.
12^2 = s^2 + s^2
s^2 = 72
+s+=+6sqrt%282%29+
s =~ 8.485

Answer by dabanfield(803) About Me  (Show Source):
You can put this solution on YOUR website!
How would you solve a 90 45 45 triangle if you knew the hypotenuse was 12?
Let x be the length of each of the two legs of the triangle (remember, if the non-90-degree angles in a right triangle are equal the triangle is isosceles so the legs are the same length.
By the Pythagorean Theorem we have then:
x^2 + x^2 = 12^2
2x^2 = 144
x^2 = 72
x = sqrt(72) = sqrt(36*2) = sqrt(36)*sqrt(2) = 6*sqrt(2)