SOLUTION: If the legs of a 45-45-90 triangle have a length of 8 centimeters what is the perimeter of the triangle..?

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Question 711694: If the legs of a 45-45-90 triangle have a length of 8 centimeters what is the perimeter of the triangle..?
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
For this problem you could use the Pythagorean theorem.
The Pythagorean theorem states that for any right triangle A%5E2+%2B+B%5E2+=+C%5E2
Where A and B are the sides of the triangle and C is the hypotenuse.
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Use the theorem to solve for C
A = 8
B = 8
A%5E2+%2B+B%5E2+=+C%5E2
8%5E2+%2B+8%5E2+=+C%5E2
64+%2B+64+=+C%5E2
128+=+C%5E2
Take the squar root of both sides
sqrt%28128%29+=+C
highlight+%2811.31+=+C%29
*Note that value is rounded.
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Now add all of the sides together to find the perimeter.
8+%2B+8+%2B+11.31+=+27.31
The perimeter is 21.31cm