chapter 10: area

Chapter 10:AreaSection 10-1:

Area of Parallelograms

and Triangles

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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







Theorem 10-1:“Area of a Rectangle”

The area of a rectangle is the product of its base and its height.

base

height A = bh







Theorem 10-2:“Area of a Parallelogram”

The area of a parallelogram is the product of its base and its height.

A = bh

base

height







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.







Parts of a Parallelogram (continued)







Finding the Area of a Parallelogram

Find the area of the parallelogram:







Finding a Missing Dimension

Find the value of x.

8

3 4

x







Theorem 10-3:“Area of a Triangle”

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

1

2A bh







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

Find the area of the triangle:

16

9







Finding the Area of a Triangle

Find the area of the triangle:

6

5







chapter 10: area

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