Question

Two side of a triangle measure 7 and 9. Find the range of possible measures for the third side.

Answer 1

anything greater than 2 and less than 16

Explanation:

Answer 2

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

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