IM 6.1.9 Practice: Formula for the Area of a Triangle

Author:GeoGebra Classroom Activities, IM 6 – 8 Math

For each triangle, a base and its corresponding height are labeled. Find the area of each triangle.

How is the area related to the base and its corresponding height?

Here is a right triangle. Which of the following would be a corresponding height if we consider d, as the base.

Select all that apply

Check my answer (3)

Here is a right triangle. Which of the following would be a corresponding height if we consider e, as the base.

Select all that apply

Check my answer (3)

Here is a right triangle. Which of the following would be a corresponding height if we consider f, as the base.

Select all that apply

Check my answer (3)

Find the area of the shaded triangle. Show your reasoning.

Andre drew a line connecting two opposite corners of a parallelogram. Select all true statements about the triangles created by the line Andre drew.

Select all that apply

A
Each triangle has two sides that are 3 units long.
B
Each triangle has a side that is the same length as the diagonal line.
C
Each triangle has one side that is 3 units long.
D
When one triangle is placed on top of the other and their sides are aligned, we will see that one triangle is larger than the other.
E
The two triangles have the same area as each other.

Check my answer (3)

Here is an octagon. (Note: The diagonal sides of the octagon are not 4 inches long.) While estimating the area of the octagon, Lin reasoned that it must be less than 100 square inches. Do you agree? Explain your reasoning.

IM 6.1.9 Practice: Formula for the Area of a Triangle

For each triangle, a base and its corresponding height are labeled. Find the area of each triangle.

Find the area of the shaded triangle. Show your reasoning.

Now, find the exact area of the octagon. Show your reasoning.

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