If two sides of a triangle are 6 and 16, what is the range of the possible lengths of the third side?

If two sides of a triangle are 6 and 16, what is the range of the

the sum of any two sides must be greater than the third side.

let the third side be x
x+6 > 16 and x+16 > 6 and 6+16>x
x > 16 and x > -6 and x < 22 , well clearly x> 16 AND x > -6 ---> x > 16

so 16 < x < 22 , in words, the third side must be between 16 and 22

It is not 16

16-6 < x < 16+6

Not 16 its 10

If you do RSM then it gets a bit more confusing. You need to pay really close attention when it says "If we denote the third side as c, then " So basically it wants you to do exactly what oobleck did except use the letter c in the middle.

10 < c < 22

rsm is really weird in terms of the way the people are and the system

thanks!

thx

Hey guys I’m hate rsm and the answer is 10 and 22 i think. 😊

Imagine the third side is x
then its 10<x<22 simple as that