1. 7.3(a) Notes: Relationships Btwn / and Sides of a Δ
Date:
7.3(a) Notes: Relationships Btwn / and Sides of a Δ
Lesson Objective: Recognize and apply properties of inequalities to the relationships between the angles and sides of a triangle.
CCSS: G.CO.10
You will need: ruler
Real-World App: Which trainee is closest to the instructor?
This is Jeopardy!!!: This is the sum of a triangle.

2. Lesson 1: Angle-Side Relationships in Δs
Draw large scalene ∆ABC with base AC being the longest side at least 4” long and BC being the shortest side. Measure and label the sides and angles. B
A C

3. Lesson 1: Angle-Side Relationships in Δs
Co­py the table and re­cord your mea­sures in the first row. Go to 3 other classmates and record the infor­ma­tion of their triangles.
Name BC AC AB
m/ A
m/ B
m/ C

4. Lesson 1: Angle-Side Relationships in Δs
In the table, draw a circle around the longest side length, and draw a circle around the greatest angle measure.
Name BC AC AB
m/ A
m/ B
m/ C

5. Lesson 1: Angle-Side Relationships in Δs
Draw a square around the shortest side length, and draw a square around the least angle measure.
Name BC AC AB
m/ A
m/ B
m/ C

6. Lesson 1: Angle-Side Relationships in Δs
Where is the longest side in relation to the largest angle? Where is the shortest side in relation to the smal­lest angle?
Name BC AC AB
m/ A
m/ B
m/ C

7. Lesson 1: Angle-Side Relationships in Δs
m/ C > m/ A
Angle-Side Relationship Theorems:
In a ∆, the larger / is opposite the longer side and vice versa.

8. Lesson 1:

9. Lesson 1:

10. Lesson 2: Order Triangle Angle Measures
Write the angles in order from smallest to largest.

11. Lesson 3: Order Triangle Side Lengths
Write the sides in order from shortest to longest.

12. Lesson 4: Real-World Angle-Side Relationships

13. 7.3(a): Do I Get It? Yes or No 1. 2.

14. 7.3(a): Do I Get It? Continued3.