SOLUTION: Find the length of the third side of the right triangle. Give an exact answer and an approximation to three decimal places. a=19 b=unknown c=26

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Question 1007770: Find the length of the third side of the right triangle. Give an exact answer and an approximation to three decimal places.
a=19
b=unknown
c=26

Found 2 solutions by fractalier, Fombitz:
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Using the Pythagorean Theorem, we have
a^2 + b^2 = c^2 or
b^2 = c^2 - a^2
b^2 = 26^2 - 19^2
b^2 = 676 - 361
b^2 = 315
b = 17.748

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Pythagorean theorem,
Assuming c is the hypotenuse,
a%5E2%2Bb%5E2=c%5E2
b%5E2=c%5E2-a%5E2
b=sqrt%28c%5E2-a%5E2%29
b=sqrt%2826%5E2-19%5E2%29
b=sqrt%28676-361%29
b=sqrt%28315%29
Assuming c is not the hypotenuse,
a%5E2%2Bc%5E2=b%5E2
b%5E2=19%5E2%2B26%5E2
b%5E2=1037
b=sqrt%281037%29