Triangle Area and Base Calculations

The video tutorial explains how to find the base of a triangle given its area and height using the area formula. It demonstrates solving a specific problem where the area is 60 square feet and the height is 12 feet, leading to a base of 10 feet. The tutorial also covers how to isolate the base variable in the area formula by clearing fractions and performing inverse operations.

What is the formula for the area of a triangle?

• Area equals base times height

• Area equals one-half base times height

• Area equals base plus height

• Area equals base divided by height

If the area of a triangle is 60 square feet and the height is 12 feet, what is the base?

• 20 feet

• 15 feet

• 10 feet

• 5 feet

What is the area of a triangle with a base of 10 feet and a height of 12 feet?

• 50 square feet

• 60 square feet

• 70 square feet

• 80 square feet

What is the inverse operation used to solve for B in the equation 6B = 60?

• Multiplication

• Division

• Addition

• Subtraction

What is the first step in solving for the base variable in the area formula?

• Divide both sides by 2

• Subtract both sides by 2

• Multiply both sides by 2

• Add both sides by 2

After clearing fractions in the area formula, what does the equation become?

• 2A = B + H

• 2A = B - H

• 2A = B * H

• 2A = B / H

What operation is used to isolate the base variable after clearing fractions?

• Addition

• Subtraction

• Multiplication

• Division

What is the final expression for the base variable in terms of area and height?

• B = A / H

• B = 2A / H

• B = H / 2A

• B = H / A