# Area and perimeter of triangles #### All in One Place

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##### Intros
###### Lessons
1. Introduction to Area and Perimeter of Triangles:
2. What are the basic properties of a triangle?
3. How do you calculate the perimeter of a triangle?
4. How do you calculate the area of a triangle?
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##### Examples
###### Lessons
1. Perimeter of Triangles
Calculate the perimeter of each triangle.

1. 2. 3. 2. Area of Triangles
Calculate the area of each triangle.

1. 2. 3. 3. Perimeter and Area of Compound Triangle Shapes
Calculate the perimeter and area of each compound shape. Break down the complex shapes into components (triangles and rectangles) first!

1. 2. 3. 4. Triangles Word Problem
The side of a skateboard ramp is a right triangle. What is the perimeter and area of the side of a skateboard ramp that has the following measurements: base=20m, height=15m, slope=25m ###### Topic Notes

In this lesson, we will learn:

• The basic properties of the shape of the triangle
• How to understand and calculate the perimeter of a triangle
• How to understand and calculate the area of a triangle

Notes:

• A triangle is a 2D shape with 3 straight sides and 3 angles that add up to 180°
• There are different types triangles (classified by side lengths or angle size), but it does not change the formulas for area and perimeter.

• The perimeter is the exact distance around the shape.
• Perimeter is a 1D (one-dimensional) quantity
• It uses units such as meters (m, cm, mm, km), miles (mi), yards (yd), or inches and feet (in and ft)

• For triangles, the formula is written as:
• Ptriangle = side1 + side2 + side3

• This formula does not change for different types of triangles • The area is the space that is covered by the shape.
• Area is a 2D (two-dimensional) quantity
• It uses squared units such as square meters (m2, cm2, mm2, km2), square miles (mi2), square yards (yd2), or square inches and feet (in2 and ft2)

• For triangles, the formula is written as:
• Areatriangle = $\large \frac{b \, \times \, h} {2}$
• Where $b$ is base, and $h$ is height

• This formula does not change for different types of triangles, but you do need to keep in mind how to find the triangle’s height
• The triangle’s base is any of the three straight sides
• The triangle’s height is found by placing the chosen base as the flat bottom, and then drawing a perpendicular line from that until the highest point (vertex); it can also be called the triangle’s altitude 