Find the equation of median from the vertex A of triangle ABC if A(1,2), B(2,3), C(2,-5).

Expert Answers

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We have to find the median from the vertex A of the triangle ABC.

Now, the mid point between B and C can be derived using the relation for the finding the mid point between two points. It states that the mid point between ( x1, y1) and (x2 , y2) is given by ( ( x1 + x2)/2, ( y1+ y2)/2).

The mid point between B(2,3) and C(2, -5) is (( 2+2)/2 , ( 3 - 5)/2)

=> ( 2 , -1)

The equation of the line joining A(1,2) and ( 2 , -1) is y+1=[(2+1)/(1-2)]*(x - 2)

=> y + 1 = -3*(x - 2)

=> y + 1 = -3x + 6

=> 3x + y - 5 = 0

The required equation of the median is 3x + y - 5 = 0

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