Lesson 10: Bases and Heights of Triangles | Unit 1: Area and Surface Area

Draw

For each triangle, a base is labeled $$b$$ . Draw a line segment that shows its corresponding height. Use an index card to help you draw a straight line.

Multiple Select

Select all triangles that have an area of 8 square units.

• A

• B

• C

• D

• E

Open Ended

Explain how you know which triangles have an area of 8 square units.

Open Ended

Find the area of the triangle. Show your reasoning.

Multiple Choice

Can Side $$d$$ be the base for this triangle?

• Yes, side d can be the base for this triangle.
• Side d is not a straight line.

Multiple Choice

If Side $$d$$ can be the base, which length would be the corresponding height?

• d / 2
• (2 * Area) / d
• (Area * d) / 2

Open Ended

If Side $$d$$ cannot be the base, explain why not.

Draw

On the grid, draw three different triangles with an area of 8 square units. Label the base and height of each triangle.

Open Ended

Find the area of triangle MOQ in square units. Show your reasoning.

Open Ended

Find the area of the triangle. Show your reasoning. Consider the image of a slanted triangle drawn on a 7 by 7 grid. The bottom left vertex is 1 unit over and 3 units up from the bottom left corner of the grid. The top vertex is 3 units over and 6 units up from the bottom left corner of the grid. The bottom right vertex is 6 units over and 1 unit up from the bottom left corner of the grid.