Analytical Geometry

dhwanit munshi's Avatar
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28 Dec 2007 07:56:36 IST
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how to find out vertices of a triangle
Engineering Entrance , JEE Main , JEE Main & Advanced , Mathematics , Analytical Geometry

how to find out vertices of a triangle if midpoints of the sides of triangle are given




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dhwanit munshi's Avatar

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Joined: 5 Feb 2007
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28 Dec 2007 08:02:27 IST
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try and suggest some shortcut methods
Akshay Pamnani's Avatar

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28 Dec 2007 11:23:58 IST
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use mid point formulae,frame 3 equations each in x and y
3 equation 3 unknown solved

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Joined: 2 Jan 2008
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2 Jan 2008 13:57:20 IST
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WE CAN APPLY MID POINT FORMULA.
THEN SOLVE
SIX EQUATIONS ONE BY ONE.I DONOT THINK THERE WILL BE ANY OTHER METHOD.
Srujana's Avatar

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2 Jan 2008 14:25:43 IST
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Let the coordinates of the midpoint be D,E,F for the sides a,b,c respectively

Coordinates of D+coordinates of E - coordinates of F gives u the coordinates of the vertex opposite to F , i.e, C

lly
Coordinates of E+coordinates of F - coordinates of D gives u the coordinates of the vertex opposite to D i.e, A



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