Question

What is the range of possible

lengths of the third side of a
triangle with side lengths of
3 and 7?

Answer 1

4<C <10

Explanation:

Theorem: Given a triangle with sides A, B and C the sum of the lengths of any two sides of a triangle must be greater than the third side:

1. A+B>C

2. B +C >A

3. A+C>B

Thus given two sides of A=3 and B=7 C can be:

7 −3<C < 7+3

C range

4<C <10