SOLUTION: Find all values of "t" such that t-1,t+1, and 4 could be lengths of the sides of a right triangle.

Algebra ->  Inequalities -> SOLUTION: Find all values of "t" such that t-1,t+1, and 4 could be lengths of the sides of a right triangle.      Log On


   

Question 893639: Find all values of "t" such that t-1,t+1, and 4 could be lengths of the sides of a right triangle.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Pythagorean theorem,
t%2B1 is a side.
%28t-1%29%5E2%2B%28t%2B1%29%5E2=4%5E2
t%5E2-2t%2B1%2Bt%5E2%2B2t%2B1=16
2t%5E2%2B2=16
2t%5E2=14
t%5E2=7
t=sqrt%287%29
.
.
.
t%2B1 is the hypotenuse.
%28t-1%29%5E2%2B4%5E2=%28t%2B1%29%5E2
t%5E2-2t%2B1%2B16=t%5E2%2B2t%2B1
-2t%2B17=2t%2B1
-4t=-16
t=4