Calculating the Area of a Triangle with Fractions

The video tutorial explains how to calculate the area of a triangle using the formula: one half times base times height. It demonstrates the process with fractional values for the base and height, simplifying fractions before multiplying. The final area is calculated as seven sixtieths of a meter squared, emphasizing the importance of including units in calculations.

What is the formula for the area of a triangle?

• base minus height divided by two

• base times height divided by two

• base plus height divided by two

• base divided by height times two

Are multiplying by one half and dividing by two equivalent in calculating area?

• Only when using fractions

• Only when using whole numbers

• No, they are not equivalent

• Yes, they are equivalent

Why do we use the formula one half times base times height when dealing with fractions?

• It has no specific reason

• It is required by mathematical laws

• It complicates the calculation

• It simplifies the calculation

What are the units of the base and height given in the problem?

• Meters

• Kilometers

• Centimeters

• Inches

What simplification is made before multiplying the fractions for area calculation?

• No simplification is possible

• Eight in the numerator and denominator simplify to one

• Two in the numerator and denominator simplify to one

• Four in the numerator and denominator simplify to one

What is the final denominator in the area calculation?

• 60

• 45

• 30

• 75

What is the area of the triangle in the problem?

• Seven sixtieth of a square meter

• Seven thirtieth of a square meter

• Seven forty-fifth of a square meter

• Seven seventy-fifth of a square meter

Why are the units of area expressed as squared?

• Because the base and height are multiplied

• Because the units of length are squared in the formula

• Because it is a standard mathematical practice

• Because area is a two-dimensional measurement