Suppose that you have three pieces of wire, each of different lengths, will those pieces of wire ALWAYS create a triangle?
To explore this question, follow the instructions below and use DESMOS to create triangles using the lengths of 3, 4, 5, 6, 8 and 10 units. Record your results in a table similar to the one below (or download the table Triangles)
- Use the three smallest measurements (of different size), and see if these side lengths can form a triangle.
- Continue to choose three different measurements for side lengths and attempt to make triangles. Be sure to record your attempts (both those that work and those that do not).
Write down the measurements of each side | Could a triangle be formed? | What is the largest angle type? | |||||
---|---|---|---|---|---|---|---|
small | medium | large | yes | no | acute | right | obtuse |
Summary: Compare the lengths of sides that formed a triangle and those that did not. What did you notice about the sum of two sides as it relates to the third side?
Conjecture: Use your data and your summary to make a conjecture about the lengths of the sides of a triangle.