# Acute, Right, or Obtuse?

- Author:
- Tim Brzezinski

In the applet below, you'll see a triangle with a colored square built off each side.
You can change the size and shape of this triangle by moving its

**BIG GRAY VERTICES**around. You can also use the**red slider.**Interact with the applet below for a few minutes. Then, answer the questions that follow.**Questions:**1) Is it at all possible for the

**sum of the areas of the 2 smaller squares**to

**be EQUAL TO the area of the largest square?**If this is possible,

**how would you classify such a triangle (for which you observe this to be true)***2) Is it at all possible for the*

**by its angles?****sum of the areas of the 2 smaller squares**to

**be GREATER THAN**

**the area of the largest square?**If this is possible,

**3) Is it at all possible for the**

*how would you classify such a triangle (for which you observe this to be true) by its angles?***sum of the areas of the 2 smaller squares**to

**be LESS THAN**

**the area of the largest square?**If this is possible,

**how would you classify such a triangle (for which you observe this to be true)**

*by its angles?*