Grade 6 | Unit 1 | Lesson 9: Formula for the Area of a Triangle | Practice Problems

Select all drawings in which a corresponding height \(h\) for a given base \(b\) is correctly identified.

• A

• B

• C

• D

• E

Select all drawings in which a corresponding height \(h\) for a given base \(b\) is correctly identified (Continued).

(a)  

3 triangles on a grid labeled A, B, C. A, base = 4, height = 6. B, base = 8, height = 4. C, base = 6, height = 4.

Find the area of each triangle. How is the area related to the base and its corresponding height?

Tags

CCSS.6.G.A.1

Here is a right triangle. Name a corresponding height for each base.

Base: Side \(d\)

• Segment \(g\)

• Side \(f\)

• Side \(e\)

Here is a right triangle. Name a corresponding height for each base.

Base: Side \(e\)

• Segment \(g\)

• Side \(f\)

• Side \(e\)

Here is a right triangle. Name a corresponding height for each base.

Base: Side \(f\)

• Segment \(g\)

• Side \(f\)

• Side \(e\)

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

Tags

CCSS.6.G.A.1

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

• 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: One triangle is larger than the other.

• E: The two triangles have the same area.

Tags

CCSS.HSG.CO.C.11

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. Find the exact area of the octagon. Show your reasoning.