The lengths of two sides of a triangle are 22 inches and 17 inches. Find the range of possible lengths for the third side.

greater than 9 in. and less than 35 in.
greater than 5 in. and less than 39 in.
greater than 17 in. and less than 22 in.
greater than 39 in. and less than 5 in.

Question

The lengths of two sides of a triangle are 22 inches and 17 inches. Find the range of possible lengths for the third side.

greater than 9 in. and less than 35 in.
greater than 5 in. and less than 39 in.
greater than 17 in. and less than 22 in.
greater than 39 in. and less than 5 in.

evoker · Answer

It can't be shorter than the difference and must be less than the sum.

campayne · Answer

meaning?

evoker · Answer

For your case it must be greater that 22-17 or 5 inches, and must be less than the sum(22+17) or 39 in.   This is because the any two sides must add to more than the third.

campayne · Answer

ohhhhh now i see thx