Law of Cosines: Discovery

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

[color=#000000](Be sure the black slider has been slid all the way to the right before answering these questions.)[/color]

1)

[color=#000000]Write an equation that expresses the relationship among [i]A, x, [/i]and [i]b[/i]. [br]Then, if necessary, rewrite this equation so that [i]x[/i] is written in terms of [i]b[/i] and [i]A[/i]. [/color]

2)

[color=#000000]Write an equation that expresses the relationship among [i]b[/i], [i]x[/i], and [i]h[/i]. [/color]

3)

[color=#000000]Without introducing a new variable, write an equation that expresses the relationship among the sides of Triangle [i]BDC[/i]. [/color]

4)

[color=#000000]Rewrite the equation you wrote in response to question (3) so that each side of the equation is written in simplest form. [/color]

5)

[color=#000000]Now use any one (or more) equations you've written in response to the questions above [/color][color=#0000ff][b]so that the equation you wrote for (4) contains no power of [i]x[/i] and no power of [i]h[/i]. [/b][/color]

Law of Cosines: Discovery

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Information: Law of Cosines: Discovery