anonymous
  • anonymous
In triangle ABC, AB= AC, B :(3,6) and C:(7,12). G is the centroid of the triangle. G moves on a line x - y = 1. Find coordinates of G.
Mathematics
schrodinger
  • schrodinger
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schrodinger
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anonymous
  • anonymous
I got x = 8, y =7. But getting different answer for centroid coordinate by using the centroid formula. Answer is given as G:(8,7). Can anyone explain how it is so?
apoorvk
  • apoorvk
Hmm wait. lemme check.
anonymous
  • anonymous
|dw:1334301435972:dw| now find h.

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anonymous
  • anonymous
But why do we need to find "h"?
anonymous
  • anonymous
@gurvinder please help me.
anonymous
  • anonymous
|dw:1334301902590:dw| |dw:1334302004278:dw| |dw:1334302147733:dw|
apoorvk
  • apoorvk
hmmm When you are using the centroid formula, you are accounting for the fact that it lies on the line but it may also lie lie outside the triangle, by distance formula. something like this. this explains the 'other' answer |dw:1334301731285:dw| so unless you put the constraint that it lies on th eline. you are have two loci of 'G'.
apoorvk
  • apoorvk
|dw:1334302353359:dw|
anonymous
  • anonymous
@Aadarsh .find h and find G coordinate(h+1,h).
anonymous
  • anonymous
Thanks @Taufique , @apoorvk , @gurvinder bhai for help. I got it.
anonymous
  • anonymous
since coordinate of G on the line x-y=1. hence let y coordinate=h of centroid. x-h=1. there fore x=h+1..hence it will be x coordinate of the centroid.
anonymous
  • anonymous
Thanks. i got it. Samajh mein aa gaya.
anonymous
  • anonymous
Aadarsh vai ap bht jaldi samajte hain hehe.
anonymous
  • anonymous
Aadarsh coordinate geometry ache se padhna ..
anonymous
  • anonymous
Ji haan. aur bhi ache se practice karunga.

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