Lesson 8: Practice Problems
Problem 1
To find the area of this right triangle, Diego and Jada used different strategies. Diego drew a line through the midpoints of the two longer sides, which decomposes the triangle into a trapezoid and a smaller triangle. He then rearranged the two shapes into a parallelogram.
Jada made a copy of the triangle, rotated it, and lined it up against one side of the original triangle so that the two triangles make a parallelogram.
Explain how Diego might use his parallelogram to find the area of the triangle.
Explain how Jada might use her parallelogram to find the area of the triangle.
Problem 2
Find the area of the triangle. Explain or show your reasoning.
Problem 3
Which of the three triangles has the greatest area? Show your reasoning.
If you get stuck, use what you know about the area of parallelograms to help you.
![Three triangles labeled A, B, and C. Triangle A is a right triangle with a base of 5 and a height of 4. Triangle B has a base of 4 and a height of 5. Triangle C has a base of 4 and a height of 5.](../../../../../../embeds/05969f3a--6.1.C.PP.New.Image.03.png)
Problem 4 From Unit 1 Lesson 7
Draw an identical copy of each triangle such that the two copies together form a parallelogram. If you get stuck, consider using tracing paper.
![Three triangles labeled D, E, and F.](../../../../../../embeds/e77c26f8--6.1.C1.Image.15b.png)
Problem 5 From Unit 1 Lesson 6
A parallelogram has a base of 3.5 units and a corresponding height of 2 units. What is its area?
A parallelogram has a base of 3 units and an area of 1.8 square units. What is the corresponding height for that base?
A parallelogram has an area of 20.4 square units. If the height that corresponds to a base is 4 units, what is the base?