Triangle Area and Height Calculations

The video tutorial explains how to find the height of a triangle when given its area and base length. It begins by introducing the problem and the formula for the area of a triangle. The sides of the triangle are labeled, and an equation is set up using the known area and base length. The tutorial then demonstrates how to solve the equation to find the unknown height by isolating the variable. Finally, the solution is verified, confirming that the height is correct, and the tutorial concludes with a summary of the process.

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

• 24 square units

• 18 square units

• 6 square units

• 12 square units

Which side of the triangle is labeled as the base?

• The side with a length of 18 units

• The side with a length of 6 units

• The side with unknown length

• The side with a length of 12 units

What is the formula for the area of a triangle?

• base + height

• base * height / 2

• base - height

• base * height

How is the equation set up to find the height of the triangle?

• 3H = 18

• 6H = 18

• 12H = 18

• H = 18

What is the simplified form of the left side of the equation?

• 3H

• 18H

• 6H

• 12H

What operation is used to isolate H in the equation?

• Division

• Addition

• Subtraction

• Multiplication

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

• 3 units

• 12 units

• 9 units

• 6 units

What is the base of the triangle?

• 3 units

• 6 units

• 9 units

• 12 units

What is the final area of the triangle with the calculated height?

• 12 square units

• 18 square units

• 24 square units

• 6 square units

What is the purpose of dividing by three in the equation?

• To find the height

• To find the perimeter

• To find the base

• To find the area