Let’s investigate triangles.

1. Record the length of your short grid strip as the length of segment . Then choose a number between 4 and 10 to record as the length of segment . The values you choose for and can be the same, but no one in your group should have the same values as you do for and . Once you have chosen your value for , draw that length on your graph paper.
   1.  =
   2.  =
2. Use your long grid strip to measure different possible lengths for so that and your fixed lengths make a triangle. Include at least one of each of the following, recording your findings below.
   1. obtuse triangle
   2. acute triangle
   3. right triangle

      length	length	length

3. Compare your list of side lengths with those of your group. What observations can you make about the length of ?

1. Use the available tools to figure out if each set of three side lengths could make a triangle.

   1. 4, 6, 7

   2. 4, 6, 100

   3. 4, 6, 6

   4. 4, 6, 10

   5. 4, 6, 0.5

   6. 4, 6, 2

2. A triangle has two sides that measure 7 and 12.

   1. What is a length for the third side that is too long?

   2. What is a length for the third side that is too short?

   3. What is a length for the third side that would create a triangle?