Grade 6 | Unit 1 | Lesson 8: Area of Triangles | Practice Problems

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. Explain how Diego might use his parallelogram to find the area of the triangle.

Tags

CCSS.6.G.A.1

To find the area of this right triangle, Diego and Jada used different strategies. 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 Jada might use her parallelogram to find the area of the triangle.

Tags

CCSS.6.G.A.1

Find the area of the triangle. Explain or show your reasoning.

Tags

CCSS.6.G.A.1

Find the area of the triangle. Explain or show your reasoning.

• 
• Decompose the triangle with a cut line half-way between the base and the opposite vertex. Rearrange the smaller triangle to form a parallelogram. This parallelogram has a horizontal base of length 4 units and a height of 1.5 units, so its area is 6 square units. That means the area of the original triangle is 6 square units.

Which of the three triangles has the greatest area? Show your reasoning. If you get stuck, try using what you know about the area of parallelograms.

Tags

CCSS.3.MD.D.8

Draw an identical copy of each triangle such that the two copies together form a parallelogram.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

A parallelogram has a base of 3.5 units and a corresponding height of 2 units. What is its area?

Tags

Unit 1, Lesson 6

A parallelogram has a base of 3 units and an area of 1.8 square units. What is the corresponding height for that base?

Tags

Unit 1, Lesson 6

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?

Tags

Unit 1, Lesson 6