Calculating the Area of a Triangle

In this video, Mr. Jay explains how to find the area of a triangle using the formula base times height divided by 2 or 1/2 times base times height. He demonstrates this with three examples, showing how to calculate the area for triangles with different dimensions. Mr. Jay also explains why taking half of the base times height is necessary by illustrating how two triangles can form a rectangle or parallelogram. The video concludes with a summary of the methods discussed.

What is the formula for calculating the area of a triangle?

• Length times width

• Base times height

• Base plus height

• Base times height divided by 2

What does the area of a shape represent?

• The length of the shape

• The volume of the shape

• The perimeter of the shape

• The space or surface the shape covers

What alternative formula can be used to calculate the area of a triangle?

• Base times height

• Base divided by height

• 1/2 times base plus height

• 1/2 times base times height

What is the area of a triangle with a base of 8 feet and height of 6 feet?

• 24 square feet

• 28 square feet

• 48 square feet

• 12 square feet

How can two triangles form a rectangle or parallelogram?

• By rotating one triangle

• By overlapping them

• By placing them base to base

• By fitting them together

In the context of triangles, what does 'corresponding height' mean?

• The sum of all sides

• The height parallel to the base

• The height perpendicular to the base

• The longest side of the triangle

Why do we take half of the base times height to find the area of a triangle?

• Because it gives us the perimeter

• Because it's a mathematical convention

• To simplify the calculation

• Because a triangle is half of a rectangle

Why is the area of a parallelogram relevant when finding the area of a triangle?

• Because they are both four-sided figures

• Because they have the same volume

• Because they have the same perimeter

• Because a parallelogram can be divided into two triangles

What is the area of a triangle with a base of 9 meters and height of 4 meters?

• 22 square meters

• 36 square meters

• 13 square meters

• 18 square meters

What is the area of a triangle with a base of 5 yards and height of 11 yards?

• 22 square yards

• 27.5 square yards

• 55 square yards

• 16 square yards