Day 8: Students will define triangle inequalities. Triangle inequalities is finding the range for the third side of the triangle when two of the lengths of the sides are already given.

Quiz:

1: If one side of a triangle is 6 and the other side is 8, then what is the range that of numbers that the third side can be? Write it as an equation.

2. If one side of a triangle is 10 and the other side is 4, then what is the range that of numbers that the third side can be? Write it as an equation.

3. If one side of a triangle is 5 and the other side is 12, then what is the range that of numbers that the third side can be? Write it as an equation.


Anser Key:
1.

 

The range is 2-14 and the equation is 2<_x<_14.

                                                               

2.

 

The range is 6-14 and the equation is 6<_x<_14.

3.

 

The range is 7-17 and the equation is 7<_x<_17.