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11. G is the centroid of the equilateral △ABC.If AB = 10 cm then length of AG is
  A.  10√3/3
  B.  10√3/3
  C.  10√3/3
  D.  10√3/3
     
   
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12. The radius of the incircle of the equilateral triangle having each side 6 cm is
  A.  √3
  B.  √3
  C.  √3
  D.  √3
     
   
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13. If the three medians of a triangle are same then the triangle is
  A.  Equilateral
  B.  Equilateral
  C.  Equilateral
  D.  Equilateral
     
   
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14. The side BC of a triangle ABC is extended to D.If ∠ACD = 120° and ∠ABC=1/2∠CAB,then the value of ∠ABC is
  A.  40 degree
  B.  40 degree
  C.  40 degree
  D.  40 degree
     
   
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15. For an equilateral triangle, the ratio of the in-radius and the ex-radius is
  A.  1:2
  B.  1:2
  C.  1:2
  D.  1:2
     
   
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16. If the three angles of a triangle are:
  A.  Equilateral
  B.  Equilateral
  C.  Equilateral
  D.  Equilateral
     
   
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17. The centroid of an equilateral triangle angle ABC is G and AB = 10cm. The length of AG( in cm ) is :
  A.  10√3/3
  B.  10√3/3
  C.  10√3/3
  D.  10√3/3
     
   
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18. Let AX perpendicular BC of an equilateral triangle ABC. Then the sum of the perpendicular distances of the sides of triangle ABC form any point inside the triangle is
  A.  Equal to AX
  B.  Equal to AX
  C.  Equal to AX
  D.  Equal to AX
     
   
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19. Let G be the centroid of the equilateral triangle ABC of perimeter 24cm. Then the length of AG is
  A.  8/√3
  B.  8/√3
  C.  8/√3
  D.  8/√3
     
   
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20. O is the orthocenter of triangle ABC, and if ∠BOC = 110degree,then ∠BAC will be
  A.  70°
  B.  70°
  C.  70°
  D.  70°
     
   
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