Q. 113.7( 3 Votes )
Let 
be a line segment and let C be the midpoint of 
. Extend 
to D such that B lies between A and D. Prove that AD + BD = 2CD.
Answer :
AD + BD
⇒ (AB + BD) + BD
⇒ AB + 2BD
⇒ 2BC + 2BD
⇒ 2(BC + BD)
⇒ 2CD
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