Holt CA Course 1 10-4 Area of Triangles and Trapezoids.

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Holt CA Course 1 10-4 Area of Triangles and Trapezoids

Transcript of Holt CA Course 1 10-4 Area of Triangles and Trapezoids.

Page 1: Holt CA Course 1 10-4 Area of Triangles and Trapezoids.

Holt CA Course 1

10-4 Area of Triangles and Trapezoids

Page 2: Holt CA Course 1 10-4 Area of Triangles and Trapezoids.

Holt CA Course 1

10-4 Area of Triangles and Trapezoids

A. Find the area of the triangle.

Example 1: Finding the Area of a Triangle

5

8

The area of the triangle is 20 square units.

Page 3: Holt CA Course 1 10-4 Area of Triangles and Trapezoids.

Holt CA Course 1

10-4 Area of Triangles and Trapezoids

B. Find the area of the triangle.

Example 2: Finding the Area of a Triangle

9

The area of the triangle is 54 square units.

12

Page 4: Holt CA Course 1 10-4 Area of Triangles and Trapezoids.

Holt CA Course 1

10-4 Area of Triangles and Trapezoids

A. Find the area of the triangle.

The area of the triangle is 27 square units.

Check It Out! Example 3

6

9

Page 5: Holt CA Course 1 10-4 Area of Triangles and Trapezoids.

Holt CA Course 1

10-4 Area of Triangles and Trapezoids

B. Find the area of the triangle.

The area of the triangle is 35 square units.

Check It Out! Example 4

10

7

Page 6: Holt CA Course 1 10-4 Area of Triangles and Trapezoids.

Holt CA Course 1

10-4 Area of Triangles and Trapezoids

The two parallel sides of a trapezoid are its bases, b1 and b2. The height of a trapezoid is the perpendicular distance between the bases.

h

b1

b2

Page 7: Holt CA Course 1 10-4 Area of Triangles and Trapezoids.

Holt CA Course 1

10-4 Area of Triangles and Trapezoids

In the term b1, the number 1 is called a subscript. It is read as “b-one” or “b sub-one.”

Reading Math

Page 8: Holt CA Course 1 10-4 Area of Triangles and Trapezoids.

Holt CA Course 1

10-4 Area of Triangles and Trapezoids

A. Find the area of the trapezoid.

Example 5: Finding the Area of a Trapezoid

5 in.

6 in.

9 in.

The area of the trapezoid is 42 in2.

Page 9: Holt CA Course 1 10-4 Area of Triangles and Trapezoids.

Holt CA Course 1

10-4 Area of Triangles and Trapezoids

B. Find the area of the trapezoid.

Example 6: Finding the Area of a Trapezoid

The area of the trapezoid is 98 cm2.

12 cm

16 cm

7 cm

Page 10: Holt CA Course 1 10-4 Area of Triangles and Trapezoids.

Holt CA Course 1

10-4 Area of Triangles and Trapezoids

A. Find the area of the trapezoid.

The area of the trapezoid is 45 in2.

Check It Out! Example 7

4 in.6 in.

11 in.

Page 11: Holt CA Course 1 10-4 Area of Triangles and Trapezoids.

Holt CA Course 1

10-4 Area of Triangles and Trapezoids

B. Find the area of the trapezoid.

The area of the trapezoid is 94.5 cm2.

Check It Out! Example 8

16 cm

5 cm

9 cm

Page 12: Holt CA Course 1 10-4 Area of Triangles and Trapezoids.

Holt CA Course 1

10-4 Area of Triangles and Trapezoids

The state of Wisconsin is shaped somewhat like a trapezoid. What is the approximate area of the state?

Example 9: Geometry Application

The area of Wisconsin is approximately 56,000 square miles.