Triangle Area and Height Calculations

The video tutorial explains how to find the height of a triangle when its area is known. It covers two methods: using fractions and using decimals. The process involves setting up an equation based on the area formula, simplifying it, and solving for the unknown height. The tutorial demonstrates both methods step-by-step, ensuring a clear understanding of the mathematical concepts involved.

What is the given area of the triangle in the problem?

• 15 square units

• 10 square units

• 7.5 square units

• 5 square units

Which formula is used to calculate the area of a triangle?

• Base times height

• Base plus height

• Base divided by height

• One-half base times height

What is the base length of the triangle in the problem?

• 4 units

• 5 units

• 6 units

• 3 units

How is the equation simplified using fractions to find the height?

• By adding fractions

• By multiplying by the reciprocal

• By subtracting fractions

• By dividing by the reciprocal

What is the improper fraction equivalent of 7.5?

• 15/2

• 14/2

• 7/2

• 5/2

What is the decimal equivalent of 5/2?

• 1.5

• 2.0

• 3.0

• 2.5

How do you convert a fraction to a decimal?

• By subtracting the denominator from the numerator

• By adding the numerator and denominator

• By dividing the numerator by the denominator

• By multiplying the numerator by 10

What is the height of the triangle after solving the equation?

• 4 units

• 3 units

• 2 units

• 5 units

What is the result of dividing 7.5 by 2.5?

• 1

• 2

• 3

• 4

What is verified at the end of the problem?

• The base of the triangle

• The area of the triangle

• The perimeter of the triangle

• The height of the triangle