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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

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!