TRIANGLE TRIANGLE INEQUALITIESINEQUALITIES

MIlby High SchoolMIlby High School

GeometryGeometry

Mr. SaucedoMr. Saucedo

OBJECTIVE:OBJECTIVE:

--To find possible sides of a triangle.To find possible sides of a triangle.

QUICKQUICKOBSERVATIONOBSERVATION

Can you make a triangle with the following angle Can you make a triangle with the following angle measurements?measurements?

1.1. A=30, B=40, C=60A=30, B=40, C=602.2. A=90, B=90, C=30A=90, B=90, C=303.3. A=30, B=60, C=90A=30, B=60, C=90

+ In this lesson we will use the same concept of triangle+ In this lesson we will use the same concept of triangleConstruction, but we will focus on the lengths of its sides ratherConstruction, but we will focus on the lengths of its sides ratherThan its angles. Than its angles.

TRIANGLE INEQUALITY LABTRIANGLE INEQUALITY LAB

Groups of 4Groups of 4 30 minutes30 minutes Fill in the chart Fill in the chart - 10 points for every- 10 points for every

disturbance in the group.disturbance in the group.

ANALYZE THE RESULTSANALYZE THE RESULTS

THE TRIANGLE INEQUALITYTHE TRIANGLE INEQUALITYTHEOREMTHEOREM

GUIDED PRACTICEGUIDED PRACTICE

Determine if it is possible to make a triangle Determine if it is possible to make a triangle with the following sides:with the following sides:

A A little game…

GUIDED PRACTICEGUIDED PRACTICE

Determine the least and the largest Determine the least and the largest possible sides to form a triangle with the possible sides to form a triangle with the following sides:following sides:

INDEPENDENT PRACTICEINDEPENDENT PRACTICE

Determine the least and the largest Determine the least and the largest possible sides to form a triangle with the possible sides to form a triangle with the following sides:following sides:

1.1. 6cm., 6cm.6cm., 6cm.

2.2. 4yd., 5yd.4yd., 5yd.

3.3. 13ft., 11ft.13ft., 11ft.

Another quick ObservationAnother quick ObservationBiggest angle – Largest sideBiggest angle – Largest side

Smaller angle – Smallest sideSmaller angle – Smallest side

WHICH SIDE IS LARGER?WHICH SIDE IS LARGER?

WHICH ANGLE IS LARGER?WHICH ANGLE IS LARGER?

INDEPENDENT PRACTICEINDEPENDENT PRACTICE

HOMEWORKHOMEWORK

Workbook, section 5.5 & 5.6 Workbook, section 5.5 & 5.6

Problems: 13 – 24 (on page 98)Problems: 13 – 24 (on page 98)

Problems: 1 – 8 (on page 100)Problems: 1 – 8 (on page 100)

Pre AP, addPre AP, add::

Problem 27 (on page 99)Problem 27 (on page 99)