[color=#000000]Interact with the applet below for a few minutes. [/color]After doing so, please answer the questions that appear below. [br][br]You can move points [i]A[/i] and [i]B[/i] around at any time.
How would you classify [math]\Delta ABC[/math] by its sides? Why would you classify it this way?
What is the measure of the [b][color=#9900ff]dark purple angle[/color][/b]? Explain why your answer is true.
What is the measure of [math]\angle ACO[/math]? Explain how you know this is true.
What is the measure of angle A? Explain how you know.
What are the measures of the interior angles of [math]\Delta ACO[/math]?
How does the length of the longest side of [math]\Delta ACO[/math] compare to the length of its shortest side? Explain how you know this to be true.
Suppose AO = 3. What is the value of AC?
Given that AO = 3 and your response to (7) above, solve for the length CO. Write your answer in simplest radical form.
Answer questions (7) - (8) again, this time with AO = 4.
Answer questions (7) - (8) again, this time with AO = 5.
Answer questions (7) - (8) again, this time with AO = 6.
Answer questions (7) - (8) again, this time with AO = 7.
Notice any patterns in your data above? If so, explain the relationships you've discovered as best as you can.
Answer questions (7) - (8) again, this time with AO = x. (Be sure your responses to these questions are expressions written in terms of x.)