In triangle FTJ, TJ = 26, and TF = 10. What is the greatest integr length of FJ?

Charger421 Feb 21, 2021

#1**+1 **

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.**

CubeyThePenguin Feb 21, 2021

#1**+1 **

Best Answer

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.**

CubeyThePenguin Feb 21, 2021