# Lesson 10

Bases and Heights of Triangles

### Problem 1

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.

### Solution

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### Problem 2

Select all triangles that have an area of 8 square units. Explain how you know.

### Solution

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### Problem 3

Find the area of the triangle. Show your reasoning.

If you get stuck, carefully consider which side of the triangle to use as the base.

### Solution

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### Problem 4

Can side $$d$$ be the base for this triangle? If so, which length would be the corresponding height? If not, explain why not.

### Solution

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### Problem 5

Find the area of this shape. Show your reasoning.

### Solution

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(From Unit 1, Lesson 3.)

### Problem 6

On the grid, sketch two different parallelograms that have equal area. Label a base and height of each and explain how you know the areas are the same.

### Solution

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(From Unit 1, Lesson 6.)