[color=#000000]Interact with the applet below for a few minutes, and then answer the questions that follow. [/color]

[b][color=#980000]Questions: [/color][/b][br][br][color=#000000]1) How would you classify the triangle above [i]by its sides? [br][br][/i]2) What is the measure of the [/color]gray angle? [color=#000000]Explain how you know this to be true. [br][br]3) What is the measure of each[/color] [color=#ff00ff]acute pink angle[/color]? [color=#000000]Explain how you know this to be true. [br][br]4) What are the measures of this triangle's interior angles? (List from least to greatest.) [br][br]5) Suppose the thick black segment in the triangle above measures 3 inches. [br] Algebraically determine the length of the longest side of this triangle in simple radical form. [br][br]6) Suppose the thick black segment in the triangle above measures 4 inches. [br] Algebraically determine the length of the longest side of this triangle in simple radical form. [br][br]7) Same as question (6), this time for the length of the thick black segment measuring 5 inches. [br][br]8) Same as question (6), this time for the length of the thick black segment measuring 6 inches.[br][br]9) Do you notice any patterns in your answers for questions (5) - (8) above? Explain. [br][br]10) Suppose the thick black segment in the triangle above has length [i]a[/i]. [br] What would the length of this triangle's longest side be in simple radical form? [br] [br]11) Prove your response to (10) true. [/color]