SOLUTION: A,B and C are the points (3,4), (7,-2) and (-2,-1). Find the equation of the median through A of the triangle ABC.

Algebra ->  Triangles -> SOLUTION: A,B and C are the points (3,4), (7,-2) and (-2,-1). Find the equation of the median through A of the triangle ABC.      Log On


   

Question 1057604: A,B and C are the points (3,4), (7,-2) and (-2,-1). Find the equation of the median through A of the triangle ABC.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Find the mid-point of BC
( 7, -2 )
( -2, -1 )
+x%5Bm%5D+=+%28+7+-+2+%29+%2F+2+
+x%5Bm%5D+=+5%2F2+
and
+y%5Bm%5D+=+%28+-2+-+1+%29+%2F+2+
+y%5Bm%5D+=+-3%2F2+
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Find equation of line through
( 3,4 ) and ( 5/2, -3/2 )
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Use general point-slope formula

+%28+y+%2B+3%2F2+%29+%2F+%28+x+-+5%2F2+%29+=+%28+4+%2B+3%2F2+%29+%2F+%28+3+-+5%2F2+%29+
+%28+y+%2B+3%2F2+%29+%2F+%28+x+-+5%2F2+%29+=+%2811%2F2%29+%2F+%281%2F2%29+
+%28+y+%2B+3%2F2+%29+%2F+%28+x+-+5%2F2+%29+=+11+
+y+%2B+3%2F2+=+11%2A%28+x+-+5%2F2+%29+
+y+%2B+3%2F2+=+11x+-+55%2F2+
+y+=+11x+-+58%2F2+
+y+=+11x+-+29+
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check my math and get another opinion, if you can.