1. Essential Question: What are the different methods to find the area of a triangle and when do you use each? Demonstrated in writing in summary at conclusion of notes Warm-Up Please log into your calculator to answer your warm-up question.

2. Area of a Triangle Essential Question: What are the different methods to find the area of a triangle and when do you use each? Demonstrated in writing in summary at conclusion of notes

3. Essential Question: What are the different methods to find the area of a triangle and when do you use each? Demonstrated in writing in summary at conclusion of notes Formula for area of a triangle: Area = 1/2 ·b·h ** In order to use this formula you must know the base and the height of the triangle.

4. Essential Question: What are the different methods to find the area of a triangle and when do you use each? Demonstrated in writing in summary at conclusion of notes Example: Determine the area of the triangle.

5. Essential Question: What are the different methods to find the area of a triangle and when do you use each? Demonstrated in writing in summary at conclusion of notes Another formula for area of a triangle is: Area = ½ ·a · b · sin C ** You can use this formula if you know two side lengths and the measure of their included angle.

6. Essential Question: What are the different methods to find the area of a triangle and when do you use each? Demonstrated in writing in summary at conclusion of notes StatementReason 1. 2. 3. 4. a∙sinC=h4. 5.5. Substitution 6.6. Commutative Property For Multiplication Area = ½∙ b∙h Given haha Definition of Sine Multiplication Property of Equality Area = 1/2·b·a·sinC Area = 1/2·a·b·sinC

7. Essential Question: What are the different methods to find the area of a triangle and when do you use each? Demonstrated in writing in summary at conclusion of notes Example: Determine the area of the following triangles. 1. 3.

8. Essential Question: What are the different methods to find the area of a triangle and when do you use each? Demonstrated in writing in summary at conclusion of notes Example: Determine the area of the following triangles. 5. 2.

9. Essential Question: What are the different methods to find the area of a triangle and when do you use each? Demonstrated in writing in summary at conclusion of notes Example: Determine the area of the following triangles. 4. 6.

10. Essential Question: What are the different methods to find the area of a triangle and when do you use each? Demonstrated in writing in summary at conclusion of notes Example: Determine the area of the following triangles. 7. 8.

11. Essential Question: What are the different methods to find the area of a triangle and when do you use each? Demonstrated in writing in summary at conclusion of notes Homework: Add summary to notes that answers the essential question: “What are the different methods to find the area of a triangle and when do you use each? Area of a triangle worksheet