WEBVTT
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in this problem. Worse to show that the central
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right off any triangle is the intersection off its medians
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. No. Now let's draw the meanings. I
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said I'd This is the 1st 1 from a two
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line B C. This is from vortex See toe
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like a bee and that is for cortex. Be
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to line a C. Now we know that the
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median do you guys lend to equal length. So
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it means that this language is equal to this one
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. So if the cord until point B is zero
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to be assuming that this is our X and this
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is our waxes And if the coordinate off point C
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c come zero than a cornet off, this very
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point will then be c over to and be over
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, too. Now we're given a hint and we
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are set not the ratio between the vortex and intersection
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of medians. And the line that connects that works
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to the end of its median is to over three
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. So meaning that if this link is to kay
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, this length will then be K. Now we
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know that then in X direction so less that that
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were only interested in next to the business between point
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A to this word point in extraction is done equal
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to a minus. C over to. I want
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to say that this is a good three K unless
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said, we are interested in finding what to K
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is sort of coordinates off intersection off the medians.
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So from this we see that merciful K physical to
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1/3 off a one C or two. And let's
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say that the distance from point A to into sexual
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comedians is equal to explore, and that will be
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equal to coordinates of point against. Since we're an
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extraction that will be equal to a minus. It
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is two cases too. Times 1/3 off a minus
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C or two. Question number one is Why don't
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have a minus here Business a point days here that
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we're moving in this direction. So the coordinate off
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this point will be, ah, value once will
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be less than develop the off this lower case K
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. That is why we have a month's year.
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So doing that, we find this to be a
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plus three plus c. Sorry, they were three
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plus security that is equal to a plus C over
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three and that will be the X coordinate off the
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central and now a Senate. This we're interested in
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. Why direction and we're interested in why coordinate off
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the central oId? It's same idea, You know
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, the total length This is from point A to
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this point is three k, Um, and the
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difference in why corded it off those points iss be
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or two minus zero. And unless that this one
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to be equal to three k from this we see
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that kay in white direction, let's make it a
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case of wine case a wide and is equal to
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1/3 off your to in order to find why co
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ordinate, since we're moving from point a two in
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positive wind direction, why bar will be located that
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then Ah, why cordoning off point A, which
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is zero plus to K So that is two times
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won over three be over to these will cancel out
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and why I will be allocated that be over three
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sort of center of mess off this system will be
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that at the intersection off its medians and accordance off
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. That will be April, see over three and
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be over three