Questions and Answers
What is the formula to calculate the area of a triangle?
If the base of a triangle is 10 units and the height is 5 units, what is the area?
Which of the following is NOT required to calculate the area of a triangle?
What happens to the area of a triangle if both the base and height are doubled?
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If a triangle has an area of 40 square units and a base of 8 units, what is its height?
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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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Description
Test your knowledge on calculating the area of a triangle with this quiz. You'll answer questions about formulas, dimensions, and the effects of changing the base and height. Perfect for Students studying geometry!
