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

 Feb 21, 2021

Best Answer 

 #1
avatar+944 
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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.

 Feb 21, 2021
 #1
avatar+944 
+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

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