## Explore Triangles

## Work Time

# Explore Triangles

Use the Making Triangles interactive to explore how the lengths of the sides determine whether you can construct a triangle.

- Start with a base length of any size. Make the sum of the length of the other two sides less than the base length. Can you make a triangle? Explain why.
- Start with a base length of any size. Make one of the sides longer than the base. Can you make a triangle? Explain why.

Using the explorations you just did, generalize:

- If you were given the length of 3 sides, how could you determine if those 3 lengths would make a triangle?
- If you were given 3 angles, how could you determine if those 3 angles would make a triangle?

INTERACTIVE: Making Triangles

## Hint:

- If you add the lengths of two of the sides, what do you know about the relationship between this sum and the length of the third side?
- Can you move a side to the other side and make another triangle?
- If you choose two angles, what conditions will allow you to make a triangle?
- What conditions will not allow you to make a triangle?
- If the one side does not change, what side lengths will not make a triangle?