Area of triangles
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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


    Area of triangles

    • 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


  • Area of triangles

    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.


    Area of triangles
    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