SOLUTION: If ab=ac & bd=bc then examine ad perpendicular bc.

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Question 1083179: If ab=ac & bd=bc then examine ad perpendicular bc.
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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If the segments are the sides of a quadrilateral then the quadrilateral is EITHER a kite OR a rhombus.


In both case its diagonals are perpendicular.


So the statement is true.

On properties of rhombis, see the lessons
    - Diagonals of a rhombus are perpendicular
    - Diagonals of a rhombus bisect its angles
in this site.


Also,  you have this free of charge online textbook on Geometry
    GEOMETRY - YOUR ONLINE TEXTBOOK
in this site.

The referred lessons are the part if this textbook under the topic "Properties of rhombis".