SOLUTION: If a right triangle has legs of length 6 and 7, what is the length of the hypotenuse?

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Question 1071568: If a right triangle has legs of length 6 and 7, what is the length of the hypotenuse?
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If a right triangle has legs of length 6 and 7, what is the length of the hypotenuse?
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c^2 = a^2 + b^2
Sound familiar?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The two legs given are
a = 6
b = 7
The hypotenuse is unknown, so we'll say
c = x

Let's use the pythagorean theorem to find x
a%5E2%2Bb%5E2+=+c%5E2
6%5E2%2B7%5E2+=+x%5E2
36%2B49+=+x%5E2
85+=+x%5E2
x%5E2+=+85
sqrt%28x%5E2%29+=+sqrt%2885%29
x+=+sqrt%2885%29 Note: x cannot be negative so x+%3E+0
x+=+9.21954445729289

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The exact length of the hypotenuse is sqrt%2885%29 units which is approximate to 9.21954445729289 units (use a calculator to take the square root of 85). This approximate value can be rounded however your teacher or your book wants it.