SOLUTION: Find the length of the third side of the right triangle. Assume that c represents the length of the hypotenuse. Give an exact answer and, if appropriate, an approximation to three

Algebra ->  Radicals -> SOLUTION: Find the length of the third side of the right triangle. Assume that c represents the length of the hypotenuse. Give an exact answer and, if appropriate, an approximation to three       Log On


   

Question 171996This question is from textbook Introductory Algebra
: Find the length of the third side of the right triangle. Assume that c represents the length of the hypotenuse. Give an exact answer and, if appropriate, an approximation to three decimal places.
a = 1, b = 6 This question is from textbook Introductory Algebra

Found 2 solutions by KnightOwlTutor, Alan3354:
Answer by KnightOwlTutor(293) About Me  (Show Source):
You can put this solution on YOUR website!
Since you have a right triangle you can use the Pythagorean theorem.a^2+b^2=c^2
1+36=37
37=c^2
Take the square root of both sides
6.0827
since 7 is greater than 4 you round up the decimal digit before the number
7.083

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
knightowltour's solution is good, except for the typo in the last line.