If A(-3,1), B(8,-2) and C(4,16) are vertices of a triangle and AM is a median of this triangle, how do you show that the coordinates of M is (6,7)?

1 Answer
Jim G.
Jul 7, 2018

#"see explanation"#

Explanation:

#"the median from A bisects the opposite side BC"#

#"to find the coordinates of the midpoint of BC "#

#"midpoint "=[1/2(x_1+x_2),1/2(y_1+y_2)]#

#"where "(x_1,y_1)=B(8,-2)#

#"and "(x_2,y_2)=C(4,16)#

#"midpoint "=[1/2(8+4),1/2(-2+16)]#

#color(white)(xxxxxxx)=(6,7)#

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