Understanding the Area of a Triangle and Solving for Height

The video tutorial explains the formula for the area of a triangle, A = 1/2 * b * h, where A is the area, b is the base, and h is the height. It then demonstrates how to solve this formula for the height by isolating h on one side of the equation. The process involves multiplying both sides by 2 to eliminate the fraction and then dividing by the base to solve for h. The tutorial provides a visual representation of a triangle to clarify the concepts of base and height.

What is the formula for the area of a triangle?

• A = 2 b h

• A = b h

• A = b + h

• A = 1/2 b h

In the formula for the area of a triangle, what does 'b' represent?

• The base of the triangle

• The area of the triangle

• The height of the triangle

• The hypotenuse of the triangle

What is the purpose of drawing a triangle in the explanation?

• To visualize the base and height

• To find the hypotenuse

• To calculate the perimeter

• To measure the angles

What is the first step in solving the area formula for height?

• Divide both sides by h

• Multiply both sides by 2

• Subtract b from both sides

• Add 1/2 to both sides

Why do we multiply both sides of the equation by 2?

• To eliminate the base

• To isolate the area

• To remove the fraction 1/2

• To add more variables

After multiplying by 2, what is the next step to isolate h?

• Divide both sides by b

• Subtract 2A from both sides

• Add b to both sides

• Multiply both sides by h

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

• h = b / A

• h = b / 2A

• h = A / b

• h = 2A / b

How can the derived formula for height be practically used?

• To find the perimeter of a triangle

• To calculate the area of a rectangle

• To determine the height given area and base

• To measure the angles of a triangle

What happens to the 'b' on the right side of the equation when isolating h?

• It is multiplied by 2

• It is added to both sides

• It is subtracted from both sides

• It cancels out after division

What is the significance of solving the formula for height?

• It helps in finding the base

• It allows calculation of height from area and base

• It determines the area directly

• It is used to find the hypotenuse