Triangle Properties and Area Concepts

This video tutorial explains how to calculate the perimeter and area of triangles. It begins with an introduction to triangles as polygons with three sides. The perimeter is found by adding the lengths of all three sides. If a side is missing, methods like the Pythagorean theorem or trigonometry can be used. The area is explained as half the area of a rectangle that can be formed around the triangle, with the formula being base times height divided by two. The importance of the height being perpendicular to the base is emphasized.

What is a triangle?

• A shape with no sides

• A polygon with three sides

• A polygon with four sides

• A circle

How do you find the perimeter of a triangle?

• Multiply all three sides

• Add up all three sides

• Subtract the smallest side from the largest

• Divide the sum of the sides by two

What should you do if a side of a triangle is missing?

• Ignore the missing side

• Use the Pythagorean theorem or trigonometry

• Guess the length

• Use the area formula

What does the area of a shape represent?

• The number of unit squares needed to fill it

• The volume of the shape

• The length of its sides

• The perimeter of the shape

How is a triangle related to a rectangle in terms of area?

• A triangle is half the area of a rectangle

• A triangle is twice the area of a rectangle

• A triangle is the same area as a rectangle

• A triangle is unrelated to a rectangle

What is the formula for the area of a triangle?

• Base minus height

• Base plus height

• Base times height divided by 2

• Base times height

What is important about the height of a triangle?

• It is always the shortest side

• It is always the longest side

• It must be perpendicular to the base

• It is always one of the sides