Math Is Fun Forum
You are not logged in.
- Topics: Active | Unanswered
Pages: 1
#1 2010-10-26 04:55:34
- soha
- Real Member
- Registered: 2006-07-07
- Posts: 2,530
equation of median.
Find the equation of the median of triangle ABC through B if A= (2,4) B= (2,-3) C= (-4,-2) are the vertices.
I tried answering it and got the equation as 2x-3y=8=0 .
Is this the right answer?
Last edited by soha (2010-10-26 04:56:03)
"Let us realize that: the privilege to work is a gift, the power to work is a blessing, the love of work is success!" 
- David O. McKay
Offline
#2 2010-10-26 05:10:44
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: equation of median.
Hi soha;
Did you plot the 3 points and draw the line? Also, please check your equation, it does not make sense.
And there are 3 medians.
Work the problem until you get these 3 answers.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#3 2010-10-27 18:12:09
- soha
- Real Member
- Registered: 2006-07-07
- Posts: 2,530
Re: equation of median.
They have asked to find a equation of median through B?
"Let us realize that: the privilege to work is a gift, the power to work is a blessing, the love of work is success!"
- David O. McKay
Offline
#4 2010-10-27 18:57:51
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: equation of median.
Were you able to do it?
Does the drawing help you? The red, green and blue lines are medians.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#5 2010-10-27 20:30:07
- soha
- Real Member
- Registered: 2006-07-07
- Posts: 2,530
Re: equation of median.
I did not draw it like that.
Just imagined it to cut the midpoint of AC. , and solved through analytical geometry
"Let us realize that: the privilege to work is a gift, the power to work is a blessing, the love of work is success!"
- David O. McKay
Offline
#6 2010-10-27 21:22:29
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: equation of median.
That is what I mean, you solved it already. So we are done here.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#7 2010-10-28 00:06:12
- soha
- Real Member
- Registered: 2006-07-07
- Posts: 2,530
Re: equation of median.
yes, I solved it.
But you said that my answer is not right. Is it so?
I did not understand how you got your answer
"Let us realize that: the privilege to work is a gift, the power to work is a blessing, the love of work is success!"
- David O. McKay
Offline
#8 2010-10-28 00:57:47
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: equation of median.
Hi soha;
That is why I asked if you have made a drawing. Because when you would have graphed your answer you would have seen that it was not the median.
The median of B is the line from B to the midpoint of the opposite side.
First get the midpoint of AC: A (2,4), C(-4,-2). Add the x's and divide by 2 you get (2 + -4) / 2 = -1 so that is x coordinate
Now add the y's and divide by 2 you get (4 + - 2)/2 = 1 so that is the y coordinate.
The midpoint of AC is (-1,1). Now you determine the line that passes through B and the midpoint of AC.
Use the 2 point formula and plug in (2,-3) and (-1,1).
This is a variant of the 2 point formula.
You should get,
That is the formula for the median of B.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#9 2010-10-29 00:24:23
- soha
- Real Member
- Registered: 2006-07-07
- Posts: 2,530
Re: equation of median.
i did through that way only. And i got the same midpoint of AC.
And through 2 point formula, i got that equation(the one I have qritten in#1)
"Let us realize that: the privilege to work is a gift, the power to work is a blessing, the love of work is success!"
- David O. McKay
Offline
#10 2010-10-29 00:30:43
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: equation of median.
Hi soha;
Check my drawing to convince yourself that I am right.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
Pages: 1