Calculating Triangle Area Concepts

Susan introduces the concept of area, explaining it as the number of square units needed to cover a shape without gaps or overlaps. She then focuses on calculating the area of a triangle using the formula A = 1/2 * B * H, where B is the base and H is the height. Susan provides examples with different units (feet, centimeters, millimeters) and demonstrates how to find a missing dimension using inverse operations. The lesson concludes with a reminder to complete homework.

What is the definition of area in geometry?

• The length of the perimeter of a shape

• The number of square units needed to cover a shape without gaps or overlaps

• The volume of a three-dimensional object

• The distance between two points

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

• A = 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 area of the triangle

• The base of the triangle

• The height of the triangle

• The hypotenuse of the triangle

If a triangle has a base of 190 feet and a height of 79 feet, what is its area?

• 7,500.5 square feet

• 7,505 square feet

• 9,500 square feet

• 15,000 square feet

What is the area of a triangle with a base of 14 cm and a height of 8 cm?

• 112 square cm

• 56 square cm

• 64 square cm

• 28 square cm

How do you calculate the area of a triangle with a base of 27 mm and a height of 40 mm?

• 540 square mm

• 1,080 square mm

• 1,350 square mm

• 540 square mm

What is the unit of measurement for area when the dimensions are in millimeters?

• Millimeters per second

• Cubic millimeters

• Square millimeters

• Millimeters

If the area of a triangle is 225 square units and the base is 30 units, how do you find the height?

• Divide the area by the base

• Multiply the area by the base

• Multiply the area by 2 and then divide by the base

• Divide the area by 2 and then multiply by the base

What is the inverse operation of multiplication used to isolate a variable?

• Addition

• Subtraction

• Division

• Multiplication

When given the area and base of a triangle, which operation helps find the height?

• Division

• Multiplication

• Addition

• Subtraction