Notes on Inequalities in triangles

1. Section 5-4 Jim Smith

2. The Triangle Inequality Theorem
The sum of the lengths of any two sides of a triangle
is greater than the length of the remaining side

3. Can these measures be the lengths
of the sides of a triangle?
1. 3,4,5
2. 5,5,5
3. 3,8,5
4. 9,2,15
5. 25,13,18

4. Find the range for the measure of the third
side of triangle with these two sides.
1. 3 and 7
2. 10 and 15
3. 5 and 12
4. 2 and 9