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Chapter 10: Area

Chapter 10: Area. Section 10-1: Area of Parallelograms and Triangles. Objectives:. To find the area of a parallelogram. To find the area of a triangle. Vocabulary. Base of a Parallelogram Altitude of a Parallelogram Height of a Parallelogram Base of a Triangle Height of a Triangle.

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Chapter 10: Area

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  1. Chapter 10:Area Section 10-1: Area of Parallelograms and Triangles

  2. Objectives: • To find the area of a parallelogram. • To find the area of a triangle.

  3. Vocabulary • Base of a Parallelogram • Altitude of a Parallelogram • Height of a Parallelogram • Base of a Triangle • Height of a Triangle

  4. Theorem 10-1:“Area of a Rectangle” • The area of a rectangle is the product of its base and its height. A = bh height base

  5. Theorem 10-2:“Area of a Parallelogram” • The area of a parallelogram is the product of its base and its height. A = bh height base

  6. Parts of a Parallelogram • A base of a parallelogram is any of its sides. • The corresponding altitude is a segment perpendicular to the line containing that base, drawn from the side opposite that base. • The height is the length of the altitude.

  7. Parts of a Parallelogram (continued)

  8. Finding the Area of a Parallelogram • Find the area of the parallelogram:

  9. Finding the Area of a Parallelogram • Find the area of the parallelogram:

  10. Finding a Missing Dimension • Find the value of x. x 3 4 8

  11. Theorem 10-3:“Area of a Triangle” • The area of a triangle is half the product of the base and the corresponding height.

  12. Parts of a Triangle • A base of a triangle is any of its sides. • The corresponding height is the length of the altitude to the base.

  13. Finding the Area of a Triangle • Find the area of the triangle: 9 16

  14. Finding the Area of a Triangle • Find the area of the triangle: 5 6

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