SOLUTION: The length of the longer leg of a right triangle is more than three times the length of the shorter leg. The length of the hypotenuse is more than three times the length of the s

Algebra ->  Pythagorean-theorem -> SOLUTION: The length of the longer leg of a right triangle is more than three times the length of the shorter leg. The length of the hypotenuse is more than three times the length of the s      Log On


   

Question 891736: The length of the longer leg of a right triangle is more than three times the length of the shorter leg. The length of the hypotenuse is more than three times the length of the shorter leg. Find the side lengths of the triangle.
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
a%5E2+b%5E2=c%5E2
If the shorter leg (a) is 1, then the longer leg (b) is at least 3. That would make the hypotenuse (c) = 3.162. That fits the parameters.
If (a) = 2, then (b) = at least 6. That makes the hypotenuse 5.291.
Since it's "more than three times the shorter leg", any positive number will fit the equation.