Maths-
General
Easy

Question

The median AD of the triangle ABC is bisected at E and BE meets AC at F. If AF:AC =1/k then the value k

  1. 1    
  2. 2    
  3. 3    
  4. 4    

The correct answer is: 3


    table row cell text end text text B end text text y end text text end text text u end text text s end text text i end text text n end text text g end text text end text text m end text text e end text text n end text text e end text text l end text text a end text text w end text text ´ end text text s end text text end text text t end text text h end text text e end text text o end text text r end text text e end text text m end text text end text fraction numerator A E over denominator F D end fraction times fraction numerator D B over denominator R C end fraction times fraction numerator C F over denominator F A end fraction equals 1 end cell row cell rightwards double arrow fraction numerator 1 over denominator 1 end fraction times fraction numerator 1 over denominator 2 end fraction times fraction numerator C F over denominator F A end fraction equals 1 rightwards double arrow fraction numerator A F over denominator F C end fraction equals fraction numerator 1 over denominator 2 end fraction end cell row cell therefore fraction numerator A F over denominator A C end fraction equals fraction numerator 1 over denominator 3 end fraction rightwards double arrow K equals 3 end cell end table

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