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Aadarsh

  • 2 years ago

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.

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  1. Aadarsh
    • 2 years ago
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    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?

  2. apoorvk
    • 2 years ago
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    Hmm wait. lemme check.

  3. Taufique
    • 2 years ago
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    |dw:1334301435972:dw| now find h.

  4. Aadarsh
    • 2 years ago
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    But why do we need to find "h"?

  5. Aadarsh
    • 2 years ago
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    @gurvinder please help me.

  6. Taufique
    • 2 years ago
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    |dw:1334301902590:dw| |dw:1334302004278:dw| |dw:1334302147733:dw|

  7. apoorvk
    • 2 years ago
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    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'.

  8. apoorvk
    • 2 years ago
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    |dw:1334302353359:dw|

  9. Taufique
    • 2 years ago
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    @Aadarsh .find h and find G coordinate(h+1,h).

  10. Aadarsh
    • 2 years ago
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    Thanks @Taufique , @apoorvk , @gurvinder bhai for help. I got it.

  11. Taufique
    • 2 years ago
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    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.

  12. Aadarsh
    • 2 years ago
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    Thanks. i got it. Samajh mein aa gaya.

  13. Taufique
    • 2 years ago
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    Aadarsh vai ap bht jaldi samajte hain hehe.

  14. Taufique
    • 2 years ago
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    Aadarsh coordinate geometry ache se padhna ..

  15. Aadarsh
    • 2 years ago
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    Ji haan. aur bhi ache se practice karunga.

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