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Triangle inequalities

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This geometry lesson covers the triangle inequality theorem, which states that the sum of any two sides of a triangle must be greater than the remaining side. Students will practice applying this theorem by determining whether given lengths can form triangles and finding the possible range of a missing third side. The lesson includes independent practice problems for students to solve involving finding the largest and smallest possible sides of triangles.

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TRIANGLE INEQUALITIES MIlby High School Geometry Mr. Saucedo
OBJECTIVE: To find possible sides of a triangle. -
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.
TRIANGLE INEQUALITY LAB  Groups of 4  30 minutes  Fill in the chart  - 10 points for every disturbance in the group.
ANALYZE THE RESULTS
THE TRIANGLE INEQUALITY THEOREM
GUIDED PRACTICE Determine if it is possible to make a triangle with the following sides:
A little game…
GUIDED PRACTICE  Determine the least and the largest possible sides to form a triangle with the following sides:
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.
Another quick Observation Biggest angle – Largest side Smaller angle – Smallest side
WHICH SIDE IS LARGER?
WHICH ANGLE IS LARGER?
INDEPENDENT PRACTICE
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)

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Triangle inequalities