Chapter 5 Geometry High School Triangle Inequalities, examples, notes,

1. TRIANGLE
INEQUALITIES
MIlby High School
Geometry
Mr. Saucedo

2. OBJECTIVE:
To find possible sides of a triangle.
-

3. QUICK
OBSERVATION
Can you make a triangle with the following angle
measurements?
1.
2.
3.
A=30, B=40, C=60
A=90, B=90, C=30
A=30, B=60, C=90
+ In this lesson we will use the same concept of triangle
Construction, but we will focus on the lengths of its sides rather
Than its angles.

4. TRIANGLE INEQUALITY LAB
 Groups of 4
 30 minutes
 Fill in the chart
 - 10 points for every
disturbance in the group.

5. ANALYZE THE RESULTS

6. THE TRIANGLE INEQUALITY
THEOREM

7. GUIDED PRACTICE
Determine if it is possible to make a triangle
with the following sides:

8. A little
game…

9. GUIDED PRACTICE
 Determine the least and the largest
possible sides to form a triangle with the
following sides:

10. INDEPENDENT PRACTICE

Determine the least and the largest
possible sides to form a triangle with the
following sides:
6cm., 6cm.
2. 4yd., 5yd.
3. 13ft., 11ft.
1.

11. Another quick Observation
Biggest angle – Largest side
Smaller angle – Smallest side

12. WHICH SIDE IS LARGER?

13. WHICH ANGLE IS LARGER?

14. INDEPENDENT PRACTICE

15. HOMEWORK
 Workbook, section 5.5 & 5.6
Problems: 13 – 24 (on page 98)
Problems: 1 – 8 (on page 100)
Pre AP, add:
Problem 27 (on page 99)