Determine if the area formula of A=42 bh will always be correct. Find the area by making two right triangles, and by finding the area of the entire triangle by calculating the base. Do you think that the formula A=1/2 bh will work for all types of triangles? Why or why not? Fill in the table below to investigate. Area of Two Right Triangles Area of Entire Triangle Area for Triangle 1: 12 cm Total Base: 15 cm 17,4 cm 112 cm Area for Triangle 2: Area of Entire Triangle: 9 cm 12.6 cm Total Area:​

30

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times by times

d

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i used the pitagoras theoreme

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

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