Question

Geometry:
How do I do this again?

If two sides of a triangle are 7 and 13, then the remaining side must be between what two numbers?

Like 21 and 34 is 13<1<55

How do I do that ^?

Answer 1

no one side is going to be the same or bigger than the other two combined. So, you've got to look at the first two numbers. Pretend that 7 and 13 are the smallest two sides. The longest side couldn't be 20, because that's 7 and 13 combined, so x<20. Now pretend taht 7 and 13 are the bigger two numbers. 13 can't be equal to or bigger than 7 and x combined, so 7+x<13

7+x<13
-7 -7
x< 6

Answer 2

oops I meant 6<x

Answer 3

So your final answer is 6<x<20

Answer 4

get it?

Answer 5

Yes, thank you. I now have potential