I am kinda confused about this question, because I keep messing up, so I kinda need help:
Find all values of such that \(t-1\) , \(t+1\)and 4 could be the lengths of the sides of a right triangle.
t+1 is obviously larger than t-1
assuming t+1 hypotenuse
(t+1)^2 = (t-1)^2 + 4^2
expand and solve for t
Now t+1 might be less than 4
4^2 = (t+1)^2 + (t-1)^2 expand and solve for more values of 't'
Remenber to check the values ot t+1 and t-1 to make sure they 'fit' the assumptions