Question

Two sides of a triangle measure 7 in and 9 in the third side must be _____ than _____

Answer 1

The Range of possible measures for the third side is; 2 < C < 16

Step-by-step explanation:In a triangle with sides A , B and C , the sum of the length of any two sides of a triangle must be greater than the third side:

A+B>C

B+C>A

A+C>B

Given the two sides of a triangle are 7 and 9.

Let A = 7 and B = 9 then;

B-A< C < A+B

Then; the range of C can be:

9-7 < C < 7+9

Simplify:

2 < C < 16

Therefore, the range of possible measures for the third side is; 2 < C < 16