# Chapter 10: Area - PowerPoint PPT Presentation

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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

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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

### 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”

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

A = bh

height

base

### 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

• Find the area of the parallelogram:

### Finding the Area of a Parallelogram

• Find the area of the parallelogram:

### Finding a Missing Dimension

• Find the value of x.

x

3

4

8

### 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

• 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:

9

16

### Finding the Area of a Triangle

• Find the area of the triangle:

5

6