SOLUTION: The lengths of the two longer sides of a right-angled triangle are respec- tively one inch shorter and one inch longer than three times the length of the shortest side. Find the l

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Question 832270: The lengths of the two longer sides of a right-angled triangle are respec-
tively one inch shorter and one inch longer than three times the length of the shortest side. Find the length of the hypotenuse
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Pythagorean theorem,
A%5E2%2BB%5E2=C%5E2
A%5E2%2B%283A-1%29%5E2=%283A%2B1%29%5E2
A%5E2%2B%289A%5E2-6A%2B1%29=9A%5E2%2B6A%2B1
A%5E2-12A=0
A%28A-12%29=0
A cannot equal zero so,
A-12=0
A=12
The sides are then 12, 35,+37.