7.3(a) Notes: Relationships Btwn / and Sides of a Δ

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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.

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

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

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

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

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

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.

Lesson 1:

Lesson 1:

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

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

Lesson 4: Real-World Angle-Side Relationships

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

7.3(a): Do I Get It? Continued 3.