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Mathematics 21 Online
OpenStudy (anonymous):

Can someone good at Geometry help me???

OpenStudy (anonymous):

Whats the question?

OpenStudy (anonymous):

How do you solve this? I'm completely lost

OpenStudy (ranga):

The circumcenter is where the perpendicular bisectors of the sides of the triangle intersect.

OpenStudy (anonymous):

Yes, but how do you solve it....

OpenStudy (ranga):

From the bottom side of the triangle that is parallel to the x axis, you can find the x-coordinate of the circumcenter. Find the midpoint of the x-coordinates of: (-4,-4) and (-1, -4).

OpenStudy (ranga):

You can find the y-coordinate of the circumcenter from the midpoint of the y-coordinates of: (-4,-4) and (-4, 0). Midpoints of (x1, y1) and (x2, y2) is: ((x1+x2)/2, (y1+y2)/2)

OpenStudy (anonymous):

(-4+(-4))/2 (-4+0)/2 ?

OpenStudy (ranga):

(-4, -4) and (-1, -4). The line joining these two points is parallel to the x axis as seen in the bottom side of the triangle. The perpendicular bisector divided the line into 2 equal parts. We can find the x coordinate of the mid point: (x1 + x2)/2 = (-4 + -1)/2 = -5/2

OpenStudy (anonymous):

Oh, that makes a little more sense, thank you

OpenStudy (ranga):

The perpendicular bisector of the left side of the triangle will pass through the midpoint of (-4, -4) and (-4, 0). We can find the y coordinate as follows: (y1 + y2)/2 = (-4 + 0)/2 = -2 These two bisectors will intersect at (-5/2, -2).

OpenStudy (anonymous):

do rise over run

OpenStudy (ranga):

you are welcome.

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