These worksheets will teach your students how to correctly determine the area of different triangles.

Triangles are found all over the place in everyday life. In fact the triangle is the most often used shape in the engineering of houses. On your way home try to count all of the triangles in a single home design. To find the area of any triangle we require two measures: the length of the base and the length of the line that can be drawn (known as height) from the vertex to that same base. Having the ability to calculate the measure of area tells us how much space these shapes take up. While many students will just see this skill as something happens and stays on a piece of paper, understand the area of a triangle has a ton of applications in the everyday world. Most forms of architecture would be impossible without the foundation and structural strength of triangles. The shape gives rise to a very strong structure. Because the shape is made of three straight lines it also helps us predict the position of integral structures when constructing homes. Equilateral triangles are often used to construct roofs of homes and buildings. Have you taken a look at the roof at where you live?

The worksheets that are here work on the area of various triangles using the information provided about the lengths of their sides. The sheets look at how to calculate the area of various figures that have been plotted on a coordinate grid (the correct formulas have been provided). In this section you will find mixed triangles (some right triangles and some non-right). These worksheets will also demonstrate how to use a coordinate grid to determine the attributes of triangles. The coordinate plane comes in handy when working to be exact.



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Print Area of a Triangle Worksheets

Click the buttons to print each worksheet and associated answer key.

Area of Right Triangles - Meet the Skill

Trace the helping rectangle for the right triangle. Then find the area of the triangle. Each division of the grid is 1 unit.

Try the Skill

Practice Problems. Find the area of the remaining triangles.

Practice the Skill

Fill in the missing square units.

Practice the Skill Twice

See if you can determine the area of all of these colorful and bright shapes.

Show the Skill

Trace the helping rectangle for these right triangles. Then find the area of the triangles. Each division of the grid is 1 unit.

Warm Up

Start off your day with reviewing this skill or introduce it to your class with this one.

Area of a Triangle - Meet the Skill

The height is the perpendicular distance of the top vertex from the base. Here the height is 3 units. The area of the triangle is half of the parallelogram it makes as shown in the figure.

Try the Skill

Possible pairs of base and height of the triangle can be (6, 4), (2, 12), (24,1), (8,3) . We take here base = 6 units and height = 4 units

Practice the Skill

These guys are scattered all over the place.

Practice the Skill Twice

Draw the triangle on the given grid using the area given.

Area of a Triangle - Show the Skill

See how you are making out at this point.

Warm Up

Draw the triangles by following the directions that are indicated.

Area on a coordinate grid: Lesson

Find the area of given figure.

Practice Problems

Color ink can be a life saver with this one.

Worksheet 1

This is the first of two pages.

Worksheet 2

The red lines denote the access.

Review Sheet

Base is given by subtracting the x coordinates of two points 5 – (-2) = 7

Practice Problems Sheet

Practice this skill by completing the problems below.

Skill Quiz

Find the area of given figures.

"Do Now"

Find the area that is asked of you and see if you can be exact as possible.

Areas and Coordinate Geometry: Lesson

Start from S and take one Step to the right to the next grid line.

Practice Problems

These shapes are splattered on the page.

Areas and Coordinate Geometry- Worksheet 1

Count the coordinates using the grid provided.

Worksheet 2

The grid style is actually easier for me, I find. How about you?

Review Page

Start from S and take one Step to the right to the next grid line. Continue Step ping and counting until F is reached.

Quiz

How strong is your connection to coordinates? We'll find out!

Do Now

It's great to use this right before a test.