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This group started by using the Cosine Law to find the missing side. Do you see how the equation ended up becoming a quadratic equation in y-intercept form?
They had to use the quadratic equation to find the value of the missing side!
They also verified their answer using the Sine Law.

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They cleverly used the Sine Law to find the other angle first and then used the three angles of a triangle add to 180 rule to find the missing angle. Then they used the Cosine Law to find the missing side.

The one thing they forgot to do is verify their answers. Could they use the Trig Percentage Ratios (sin, cos, tan) to verify?

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They used elimination to find x and y, and also verified the values are correct. So is it possible to have a length of -46 feet?

If you have 168 feet of material, what would be the restrictions for the length and width of the pen?

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Vertex form is correct, but why does the x-intercept form have a different 'a' value? How can they get the 'a' and 'b' values for y-intercept form?