Triangle Area Concepts and Calculations

This video tutorial teaches how to find the area of a triangle using the formula 1/2 base times height. It explains the concept by comparing a triangle to half of a parallelogram and provides examples of calculating the area for different triangles. The video also covers how to find unknown measurements when given the area and demonstrates solving for missing side lengths. Additionally, it shows how to calculate the area of complex shapes by breaking them into simpler components like triangles and rectangles.

What is the relationship between a triangle and a parallelogram in terms of area?

• A triangle is half the area of a parallelogram.

• A triangle is twice the area of a parallelogram.

• A triangle is the same area as a parallelogram.

• A triangle is one-third the area of a parallelogram.

What is the formula for the area of a triangle?

• Base times height divided by 2

• Base plus height divided by 2

• Base times height

• Base plus height

If a triangle has a base of 12 inches and a height of 9 inches, what is its area?

• 72 square inches

• 27 square inches

• 108 square inches

• 54 square inches

When given side lengths that are not perpendicular, what should you focus on to find the area of a triangle?

• The sum of all sides

• The shortest side

• The perpendicular height and base

• The longest side

How do you find the area of a triangle with a base of 11 inches and a height of 7 inches?

• 15.5 square inches

• 77 square inches

• 38.5 square inches

• 22 square inches

What is the area of a triangle with a base of 12 inches and a height of 5 inches?

• 45 square inches

• 15 square inches

• 60 square inches

• 30 square inches

How can you find the area of a complex shape made up of a rectangle and a triangle?

• Subtract the area of the triangle from the rectangle

• Divide the area of the rectangle by the triangle

• Multiply the areas of both shapes

• Add the areas of both shapes

If the area of a triangle is 48 square inches and the base is 12 inches, what is the height?

• 10 inches

• 8 inches

• 6 inches

• 4 inches

Given an area of 24 square inches and a height of 8 inches, what is the base of the triangle?

• 3 inches

• 6 inches

• 4 inches

• 8 inches

What is the first step in finding an unknown measurement of a triangle when given the area?

• Multiply the area by the height

• Subtract the height from the area

• Divide the area by the base

• Use the area formula and plug in known values