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GeoGebraGeoGebra Lesson

Finding the Area of a Triangle by Subtraction

Explore how the area of a triangle on the coordinate plane relates to the area of a rectangle that encloses it.

Task 1

Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Task 2

On graph paper, plot triangle with vertices , and . Draw the bounding rectangle and explain how you would calculate the area of triangle .

Task 3

In the coordinate plane, the coordinates of the vertices of a triangle are , and . Find the value of such that the area of triangle is 8.