Grade 6 Mathematics · Unit 5: Solve Area, Surface Area, and Volume ProblemsStandard 6.GR.1

Lesson 5.2Missing Measures in Triangles

Apply Day · Set BSecond form · new problems, same idea

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Learning target I can find the area of a triangle using the formula A = ½ × base × height.

Remember5.2 · Part II

Area of Triangles

  1. Identify the base and the perpendicular height to that base
  2. A triangle is exactly half of a rectangle with the same base and height
  3. Multiply base by height, then divide by 2

Words: Base (Base)Height (Altura)Area (Área)Perpendicular (Perpendicular)Composite figure (Figura compuesta)

  1. 1Complete each step, then write the final answer.

    A triangle has a base of 6 ft and a height of 5 ft. Find its area.

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.

    A triangle has a base of 18 m and a height of 11 m. Find its area.

    Show your work
    Final answer:
  3. 3Circle the letter of the best answer. Show how you know.

    Triangle A has a base of 12 ft and a height of 4 ft. Triangle B has a base of 6 ft and a height of 8 ft. Which triangle has more area?

    1. ATriangle A
    2. BTriangle B
    3. CThey have the same area
    Show your work
  4. 4Complete each step, then write the final answer.

    The front of a tent is a triangle. It is 8 feet wide at the bottom and 6 feet tall. What is the area of the tent front?

    Show your work
    Final answer:
  5. 5Complete each step, then write the final answer.

    The front of a cabin is a triangle 20 feet wide at the bottom and 15 feet tall. One can of paint covers 50 square feet. How many cans cover the front?

    Show your work
    Final answer:
  6. 6Complete each step, then write the final answer.

    A right triangle has short sides of 9 cm and 12 cm. Its long side is 15 cm. What is the height from the square corner to the 15 cm side?

    Show your work
    Final answer:
  7. 7Circle the letter of the best answer. Show how you know.

    What is the area of a triangle with base 10 cm and height 6 cm?

    1. A16 sq cm
    2. B30 sq cm
    3. C30 cm
    4. D60 sq cm
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
  8. 8Circle the letter of the best answer. Show how you know.

    A triangular garden bed in the firm's park design has an area of 24 sq ft and a base of 8 ft. What is the height?

    1. A3 ft
    2. B6 ft
    3. C12 ft
    4. D16 ft
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
  9. 9Circle the letter of the best answer. Show how you know.

    Why do we divide by 2 when finding the area of a triangle?

    1. AA triangle is exactly half of a rectangle with the same base and height
    2. BTriangles have 2 equal sides
    3. CThe base is always twice the height
    4. DWe always divide area formulas by 2
    Show your work
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