Note the [color=#bf9000][b]manila triangle[/b][/color] in the applet below. [br][br]The [b][color=#ff00ff]pink slider[/color][/b] controls the size of the angle with [color=#ff00ff][b]pink vertex[/b][/color]. [br]You can move the[b] LARGE POINTS (VERTICES) [/b]of this triangle anywhere you'd like [b]AT ANY TIME[/b]. [br][br]Slide the black slider slowly. Pay careful attention to what you see. [br]After doing so, hit the reset button. Then change the size of the [b][color=#ff00ff]angle with pink vertex[/color][/b]. [br]Be sure to move the [b]other points[/b] around as well. [br][br]Please answer the question that follows.
Note that the [color=#38761d][b]"final triangle"[/b][/color] has each side TWICE AS LONG as the [b][color=#bf9000]original manila triangle[/color][/b]. [br][br]How does the [b]AREA [/b]of the [color=#38761d][b]"final triangle"[/b][/color] compare with the [b]AREA[/b] of the [b][color=#bf9000]original manila triangle[/color][/b]?
Note the [color=#bf9000][b]manila triangle[/b][/color] in the applet below. [br][br]The [b][color=#ff00ff]pink slider[/color][/b] controls the size of the angle with [color=#ff00ff][b]pink vertex[/b][/color]. [br]You can move the[b] LARGE POINTS (VERTICES) [/b]of this triangle anywhere you'd like [b]AT ANY TIME[/b]. [br][br]Slide the black slider slowly. Pay careful attention to what you see. [br]After doing so, hit the reset button. Then change the size of the [b][color=#ff00ff]angle with pink vertex[/color][/b]. [br]Be sure to move the [b]other points[/b] around as well. [br][br]Please answer the question that follows.
Note that the [color=#38761d][b]"final triangle"[/b][/color] has each side THREE TIMES AS LONG as the [b][color=#bf9000]original manila triangle[/color][/b]. [br][br]How does the [b]AREA [/b]of the [color=#38761d][b]"final triangle"[/b][/color] compare with the [b]AREA[/b] of the [b][color=#bf9000]original manila triangle[/color][/b]?
Suppose the [color=#38761d][b]"final triangle"[/b][/color] had each side FOUR TIMES AS LONG as the [b][color=#bf9000]original manila triangle[/color][/b]. [br][br]How would the [b]AREA [/b]of the [color=#38761d][b]"final triangle"[/b][/color] compare with the [b]AREA[/b] of the [b][color=#bf9000]original manila triangle[/color][/b]?
Suppose the [color=#38761d][b]"final triangle"[/b][/color] had each side FIVE TIMES AS LONG as the [b][color=#bf9000]original manila triangle[/color][/b]. [br][br]How would the [b]AREA [/b]of the [color=#38761d][b]"final triangle"[/b][/color] compare with the [b]AREA[/b] of the [b][color=#bf9000]original manila triangle[/color][/b]?
Suppose the [color=#38761d][b]"final triangle"[/b][/color] has each side "k" TIMES AS LONG as the [b][color=#bf9000]original manila triangle[/color][/b]. [br][br]How would the [b]AREA [/b]of the [color=#38761d][b]"final triangle"[/b][/color] compare with the [b]AREA[/b] of the [b][color=#bf9000]original manila triangle[/color][/b]? [br](Express your answer in terms of "k").