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Mathematics 15 Online
OpenStudy (anonymous):

Prove: In an equilateral triangle the three medians are equal.

OpenStudy (anonymous):

|dw:1432522409543:dw|

OpenStudy (anonymous):

OpenStudy (anonymous):

do you know the distance formula?

OpenStudy (anonymous):

you can use that to solve for the lengths of AQ, RB, and CP. They should have the same results.

OpenStudy (anonymous):

d=sqrt(x2-x1)^2+(y2-y1)^2

OpenStudy (anonymous):

yes. so now, let's find the distance of AQ using that formula. What will you get?

OpenStudy (anonymous):

\(\sf x_1= 0, y_1 = 0\\ x_2 = \dfrac{3a}{2}, y_2=\dfrac{b}{2} \)

OpenStudy (anonymous):

0

OpenStudy (anonymous):

|dw:1432524296734:dw|

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