SOLUTION: A right, isosceles triangle has hypotenuse length 50 cm. How long are the two legs?

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Question 650553: A right, isosceles triangle has hypotenuse length 50 cm. How long are the two legs?
Found 2 solutions by MathLover1, Alan3354:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
An isosceles right triangle therefore has angles of 45 degrees, 45 degrees, and 90 degrees.
; consequently, it has the two legs of same length
use Pythagorean theorem
c%5E2=a%5E2%2Bb%5E2...since a=b, we have
c%5E2=a%5E2%2Ba%5E2
45%5E2=2a%5E2
2025=2a%5E2
2025%2F2=a%5E2
1012.5=a%5E2
a=sqrt%281012.5%29
a=31.8198cm, and
b=31.8198cm

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A right, isosceles triangle has hypotenuse length 50 cm. How long are the two legs?
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s%5E2+%2B+s%5E2+=+50%5E2+=+2500
2s%5E2+=+2500
s%5E2+=+1250
s+=+25sqrt%282%29