A(5,-1), B(-1,8) and C(-3,-2) are the vertices of the triangle ABC E and F are the mid points ofthe - Maths - Circles

Question

A(5,-1), B(-1,8) and C(-3,-2) are the vertices of the triangle ABC
E and F are the mid points ofthe sides AB and AC respectively Show
that EF = 1/2 BC

Anuradha Sharma · Accepted Answer

Coordinates of E = 5-12, -1+82=2,72 using mid point formulacoordinates of F =  5-32, -1-22=1,-32So EF = 2-12+72+322=1+25=26Now BC= -1+32+8+22=104Now BC2=1042=1044=26=EF

A(5,-1), B(-1,8) and C(-3,-2) are the vertices of the triangle ABC. E and F are the mid points ofthe sides AB and AC respectively. Show that EF = 1/2 BC.