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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

Chapter 10:Area

Section 10-1:

Area of Parallelograms

and Triangles


Objectives
Objectives:

  • To find the area of a parallelogram.

  • To find the area of a triangle.


Vocabulary
Vocabulary

  • Base of a Parallelogram

  • Altitude of a Parallelogram

  • Height of a Parallelogram

  • Base of a Triangle

  • Height of a Triangle


Theorem 10 1 area of a rectangle
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


Theorem 10 2 area of a parallelogram
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


Parts of a parallelogram
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.



Finding the area of a parallelogram
Finding the Area of a Parallelogram

  • Find the area of the parallelogram:


Finding the area of a parallelogram1
Finding the Area of a Parallelogram

  • Find the area of the parallelogram:


Finding a missing dimension
Finding a Missing Dimension

  • Find the value of x.

x

3

4

8


Theorem 10 3 area of a triangle
Theorem 10-3:“Area of a Triangle”

  • The area of a triangle is half the product of the base and the corresponding height.


Parts of a triangle
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.


Finding the area of a triangle
Finding the Area of a Triangle

  • Find the area of the triangle:

9

16


Finding the area of a triangle1
Finding the Area of a Triangle

  • Find the area of the triangle:

5

6


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