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Mathematics 16 Online
OpenStudy (anonymous):

how would I find the midpoint formula to this triangle?

OpenStudy (anonymous):

OpenStudy (anonymous):

you're looking for the midpoint of the sides?

OpenStudy (anonymous):

Use the midpoint formula to find and plot the midpoint of each segment.

OpenStudy (anonymous):

"midpoint of each segment" ... i'm guessing that means the midpoint of the sides of the triangle??? if yes, you'll need the coordinates of the vertices A, B, and C.... do you have them?

OpenStudy (anonymous):

yeah, and no i don't have them

OpenStudy (anonymous):

is the coordinate axes supposed to be in that picture?

OpenStudy (anonymous):

because we need the coordinates of each vertex

OpenStudy (anonymous):

yeah, its suppose to be, I just had to screen print it or else you wouldn't have been able to see it. how can i find those?

OpenStudy (anonymous):

can you post the picture with the coordinate axes?

OpenStudy (anonymous):

does this help?

OpenStudy (anonymous):

well, once locate the coordinates of each vertex, use the midpoint formula. that will give you the midpoints of each side: \[\huge (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}) \]

OpenStudy (anonymous):

ok, here are the coordinates: A(2, 2) B(18, -2) C(2, -6) use the midpoint formula i wrote to find the midpoint of each side...

OpenStudy (anonymous):

can you find the midpoint of AB? do you need help?

OpenStudy (anonymous):

Please! I don't really understand it

OpenStudy (anonymous):

\(\huge A(\color{red}2,\color{blue}2) \) \(\huge B(\color{red}{18},\color{blue}{-2}) \) midpoint is \[\huge (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\rightarrow (\frac{2+18}{2}, \frac{18+(-2)}{2}) \] can you finish from here?

OpenStudy (anonymous):

sorry, should be: midpoint is \[\huge (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\rightarrow (\frac{2+18}{2},\frac{2+(-2)}{2}) \]

OpenStudy (anonymous):

so like 20/2, 0/2?

OpenStudy (anonymous):

yes... simplify that...

OpenStudy (anonymous):

10/1, 0/2

OpenStudy (anonymous):

(10, 0) is more simplified... so (10, 0) is the midpoint of side AB.... can you do that with the other sides? just do the same calculations with different coordinates....

OpenStudy (anonymous):

0/2, 8/1 ?

OpenStudy (anonymous):

for which one?

OpenStudy (anonymous):

BC

OpenStudy (anonymous):

for BC you should have something else...

OpenStudy (anonymous):

B(18, -2) C(2, -6) \(\large (\frac{18+2}{2}, \frac{(-2)+(-6)}{2}) \) simplify that...

OpenStudy (anonymous):

Oh... I put the numbers in the wrong spot.20/2, -8/2

OpenStudy (anonymous):

ok... that's correct but you need to simplify that... and don't forget these are coordinates so put them in between parentheses....

OpenStudy (anonymous):

(10,1) and (-4,1)

OpenStudy (anonymous):

no......

OpenStudy (anonymous):

20\2 = 10\1 = 10 -8\2 = -4\1 = -4 so the midpoint of BC is (10, -4)

OpenStudy (anonymous):

and then AC is (2,-4) ?

OpenStudy (anonymous):

your x coordinate is correct... check the y coordinate...

OpenStudy (anonymous):

(2,-2)

OpenStudy (anonymous):

yes...:)

OpenStudy (anonymous):

Thank you!! (:

OpenStudy (anonymous):

yw...:)

OpenStudy (anonymous):

Also, @dpaInc would this triangle be scalene, isosceles or equilateral?

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