[color=#000000]Take a few minutes to interact with the applet below.[br]Then, answer the questions that follow. [/color]
[color=#1e84cc]Suppose the measure of angle [i]A[/i] is [/color][i][color=#1e84cc]x.[/color] [br][/i][color=#ff00ff]What would the measure of angle [i]B[/i] be (in terms of [i]x[/i])?[/color]
[color=#000000]Think: [i]How many [color=#1e84cc]angle A's[/color] fit inside [color=#ff00ff]angle B[/color]?[/i] [/color]
[color=#000000]Again, [color=#1e84cc]suppose the measure of angle [i]A[/i] is [i]x[/i][/color]. [color=#666666]What would the measure of angle [i]C[/i] be (in terms of [i]x[/i])[/color]? [/color]
[color=#000000]Think: [i]How many [color=#1e84cc]angle A's[/color] fit inside [color=#666666]angle C[/color]? [/i][/color]
[color=#000000]Take your responses to the first 2 questions and write an equation, in terms of [i]x[/i], that expresses the relationship among the 3 angle measures of this triangle. What is the value of [i]x[/i]? What are the measures of this triangle's 3 angles? [/color]
[math]x+2x+3x=180[/math][br][color=#000000]The rest is up to you. [/color]
[color=#000000]How does the length of the hypotenuse of this triangle compare with the length of this triangle's shorter leg? [/color]
[left][color=#000000]Hint: [i]Watch the last part of the animation in the applet above. [/i] [/color][br][/left]
[color=#000000]Suppose the shorter leg's length ([i]BC[/i]) = 4 cm. [br]What would hypotenuse [i]AB[/i] be? [/color]
[color=#000000]Suppose the shorter leg's length ([i]BC[/i]) = 4 cm. [br]What would longer leg [i]AB[/i] be? [/color]
[color=#000000]Suppose short leg [i]BC[/i] = 5. What is the length of long leg [i]AC[/i] in simple radical form?[/color][br]
[color=#000000]Suppose [i]Hypotenuse AB[/i] = 5. What is the length of long leg [i]AC[/i]? [/color]
[color=#000000]Suppose long leg [i]AC[/i] = 10. What is the length of short leg [i]BC [/i]in simplified radical form? [/color]