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Mathematics 12 Online
OpenStudy (callisto):

Plane geometry question #1 - centres in a triangle

OpenStudy (callisto):

OpenStudy (anonymous):

Very easy.

OpenStudy (anonymous):

Find the distances first using distance formula.

OpenStudy (anonymous):

\[ \left(\frac{ (ax_1+bx_2+cx_3)}{(a+b+c)}, \frac{ (ay_1+by_2+cy_3)}{(a+b+c)} \right) \]

OpenStudy (callisto):

So... what do you get for the answer?

OpenStudy (anonymous):

I have to do it ? lol

OpenStudy (callisto):

nope, I realised that I got it correct actually :S

OpenStudy (anonymous):

(2,2) btw this is a Equilateral triangle so you can just find the centroid.

OpenStudy (callisto):

o.o .................................... Are you sure.......................?

OpenStudy (anonymous):

2,2 is not the answer?

OpenStudy (callisto):

The answer is not (2,2) ............ ( Shocked!!!!!)

OpenStudy (anonymous):

OOPS this is not a equilateral triangle. We have the use the in-center formula here.

OpenStudy (callisto):

in-center formula? Never heard of it !

OpenStudy (anonymous):

It's elementary. How did you solved it?

OpenStudy (callisto):

Distance formula, I supposed. Did it few months ago, not sure.

OpenStudy (callisto):

I supposed this time I need to google it myself, nevermind

OpenStudy (anonymous):

\[\frac{6*6}{6 + 6 + \sqrt2 6} = \frac{6}{2 + \sqrt2} = \frac{6(2-\sqrt2)}2 = 3(2 - \sqrt2)\]

OpenStudy (anonymous):

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