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Area of triangles. Unit 5. Getting the idea. Area is a measure of the number of square units needed to cover a region. Square Unit is a square with a side length of 1 of any particular unit of measure. Square Inches = in 2 Square Centimeters = cm 2. Formula for area of a triangle.

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getting the idea
Getting the idea
  • Area is a measure of the number of square units needed to cover a region.
  • Square Unit is a square with a side length of 1 of any particular unit of measure.
    • Square Inches = in2
    • Square Centimeters = cm2
formula for area of a triangle
Formula for area of a triangle.
  • Area equals one-half the base (b) times the

height (h).

  • A = ½bh

h

b

h

b

1 what is the area of the triangle
1. What is the area of the triangle?
                • Step One: Determine the formula for the area of a triangle.
                • A = ½ bh
  • Step Two:Substitute the values for the baseand the height

into the formula.

    • The base, b, measures 8 inches and the height, h, measures

4 inches.

    • A = ½ (8)(4)
    • Step Three: Multiply
    • A = ½ (8)(4)
    • A = ½ (32) = ● =
    • A = *divide by 2*
    • A = 16
    • Step Four: Write the answer with correct unit of measure squared.
    • Area = 16 in2

4 in

8 in

right triangle
Right Triangle
  • Remember that a right triangle has a hypotenuse and 2 sides called legs.
  • The legs form a right angle.
  • To find the area of a right triangle, use the legs as the base and height.

Hypotenuse

2 what is the area of the triangle
2. What is the area of the triangle?
                • Step One: Determine the formula for the area of a triangle.
                • A = ½ bh
  • Step Two:Substitute the values for the base and the heightinto the formula.
    • The base, b, measures 9 cm and the height, h, measures 3 cm.
    • A = ½ (9)(3)
    • Step Three: Multiply
    • A = ½(9)(3)
    • A = ½ (27) = ● =
    • A = *divide by 2*
    • A = 13.5
    • Step Four: Write the answer with correct unit of measure

squared.

    • Area = 13.5 cm2

3 cm

9 cm

slide7

In an obtuse triangle, you can extend a side to find the height.

Obtuse Angle: Angle greater than 90˚

3 what is the area of the triangle
3. What is the area of the triangle?
                • Step One: Determine the formula for the area of a

triangle.

                • A = ½ bh
  • Step Two:Substitute the values for the base and the height

into the formula.

    • The base, b, measures 12 feet and the height, h, measures 5 feet.
    • A = ½ (12)(5)
    • Step Three: Multiply
    • A = ½(12)(5)
    • A = ½ (60) = ● =
    • A = *divide by 2*
    • A = 30
    • Step Four: Write the answer with correct unit of measure squared.
    • Area = 30 ft2

5 ft

12 ft

4 what is the height of a triangle with an area of 40m 2 and a base of 10 m
4. What is the height of a triangle with an area of 40m2and a base of 10 m?
                • Step One:Determine the formula for the area of a triangle.
                • A = ½ bh
  • Step Two:Substitute the values for the areaand the base into the formula.
    • The Area , A, is 40 m2 and the base, b, measures 10 m.
    • 40 = ½ (10)(h)
    • Step Three: Solve the Equation
    • 40 = ½ (10)(h) = ● (h) = (h) = 5h
    • 40 = 5h *divide both sides of equal sign by 5 (isolate the variable)
    • 8= h
    • Step Four: Write the answer with correct unit of measure.
    • height = 8 m
slide10

5. The Clarke family built a triangular deck at the back of their house. What Is the area of the triangular deck if the base is 9 yards and the height is 7 yards?

  • Draw the triangular deck and label the base and the height.
  • Write the formula for finding the area of a triangle.
  • Substitute the base and height into the formula.
  • Solve the formula to determine the area of the triangular deck.
slide11
6. A triangular pennant has a base that is 18 inches long and a height of 6 ½ inches. What is the area of the pennant?
  • Draw the triangular pennant and label the base and the height.
  • Write the formula for finding the area of a triangle.
  • Substitute the base and height into the formula.
  • Solve the formula to determine the area of the triangular pennant.
7 the area of a triangle is 30 yd 2 and its height is 6 yd what is the length of the base
7. The Area of a triangle is 30 yd2 and its height is 6 yd. What is the length of the base?
  • Write the formula for finding the area of a triangle.
  • Substitute the Area and height into the formula.
  • Solve the formula to determine the base of the triangle.
8 mr butler drew these two triangles on the board
8. Mr. Butler drew these two triangles on the board:

34 in

34 in

  • 1. What is the area of Triangle A?
  • 2. What is the area of Triangle B?
  • 3. Describe what you notice about the two triangles.

18 in

26 in

30 in

30 in

Triangle A

26 in

Triangle B

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