In triangle FTJ, TJ = 26, and TF = 10. What is the greatest integr length of FJ?
Let the length of FJ be x. Because of the triangle inequality, the sum of two sides must be greater than the third.
10 + 26 > x
10 + x > 26
26 + x > 10
Simplifying, we get the following:
36 > x
x > 16
x > -16
The greatest integer length of x is 35.