Triangle Area Quiz

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Questions and Answers

What is the formula to calculate the area of a triangle?

  • Area = base × height × depth
  • Area = base × height
  • Area = (base + height)/2
  • Area = (base × height)/2 (correct)

If the base of a triangle is 10 units and the height is 5 units, what is the area?

  • 25 square units (correct)
  • 30 square units
  • 15 square units
  • 50 square units

Which of the following is NOT required to calculate the area of a triangle?

  • The length of the base
  • The height of the triangle
  • The angles of the triangle (correct)
  • The formula for calculating area

What happens to the area of a triangle if both the base and height are doubled?

<p>The area increases by four times (A)</p> Signup and view all the answers

If a triangle has an area of 40 square units and a base of 8 units, what is its height?

<p>10 units (A)</p> Signup and view all the answers

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Study Notes

Area of a Triangle

  • The formula to calculate the area of a triangle is: Area = (Base × Height) / 2.

Example Calculation

  • For a triangle with a base of 10 units and a height of 5 units, the area is calculated as follows:
    Area = (10 × 5) / 2 = 25 square units.

Required Elements

  • The base and height of the triangle are essential to compute its area.
  • Information like angle measures or side lengths is not necessary for this specific calculation.

Effect of Doubling Dimensions

  • Doubling both the base and height of a triangle results in quadrupling its area.
  • If the base and height are each doubled, the new area becomes:
    New Area = (2 × Base × 2 × Height) / 2 = 4 × Original Area.

Finding Height

  • For a triangle with an area of 40 square units and a base of 8 units, the height can be determined using the area formula rearranged:
    Height = (Area × 2) / Base = (40 × 2) / 8 = 10 units.

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