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Triangle abc is an isoscles triangle with ab=bc .d, e & f are the midpoints of sides bc, ca and ab. Show that the line segments ad is perpendicular to

ef and bisected by it.


According to the isosceles triangle property the line dropped from vertex opposite to midpoint of unequal side is perpendicular to the side.
FE is parallel to BC.
Thus line parallel to BC is parallel to FE also.

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