1. Triangle Inequality Day Two Notes Name:________________________ Date:_________________________ Do Now: 1. Try to construct a triangle with sides of the lengths 4’, 5” and 6” WITHOUT using a compass 2. Explain why we use a compass and a ruler, not just a ruler, when we construct a triangle

2. 3. Try to construct both triangles using a compass and a ruler triangle with sides 2”, 3” and 4” triangle with sides 1”, 2” and 4” Which triangle cannot be constructed? Why not? 4. Try to construct both triangles using a compass and a ruler triangle with sides 2”, 2” and 5” triangle with sides 3”, 3” and 4” Which triangle cannot be constructed? Why not?

3. From p.103 copy The Triangle Inequality Postulate For any triangle ABC such as the one drawn, the relationship means three inequalities are true. Triangle Inequality Notes Name:________________________ Date:_________________________ A B C

4. The lengths of two sides of a triangle are given. A. Give a possible length of the third side. B. Give the range of possible lengths for the third side. 1. A. _____________ B. _____________________ 2. A. _____________ B. _____________________ 3. A. _____________ B. _____________________ 4. A. _____________ B. _____________________ 5. A. _____________ B. _____________________ Triangle Inequality Practice Name:________________________ Date:_________________________