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1. The in- radius of an equilateral triangle is of length 3cm.Then the length of each of its medians is.
  A.  9 cm
  B.  9 cm
  C.  9 cm
  D.  9 cm
     
   
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2. If the orthocenter and the centroid of a triangle are the same, then the triangle is :
  A.  Equilateral
  B.  Equilateral
  C.  Equilateral
  D.  Equilateral
     
   
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3. If in the triangle, the circumcenter,incentre,centroid and orthocenter coincide, then the triangle is
  A.  Equilateral
  B.  Equilateral
  C.  Equilateral
  D.  Equilateral
     
   
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4. In a triangle,if three altitudes are equal,then the triangle is
  A.  Equilateral
  B.  Equilateral
  C.  Equilateral
  D.  Equilateral
     
   
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5. If ABC is an equilateral triangle and D is a point on BC such that AD⊥BC, then
  A.  AB:BD = 2:1
  B.  AB:BD = 2:1
  C.  AB:BD = 2:1
  D.  AB:BD = 2:1
     
   
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6. If the incentre of an equilateral triangle lies inside the triangle and its radius is 3 cm,then the side of the equilateral triangle is
  A.  6√3cm
  B.  6√3cm
  C.  6√3cm
  D.  6√3cm
     
   
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7. In a triangle,if orthocenter,circumcenter,incentre and centroid coincide,then the triangle must be
  A.  Equilateral
  B.  Equilateral
  C.  Equilateral
  D.  Equilateral
     
   
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8. In ABC is an equilateral triangle and P,Q,R respectively denote the middle points of AB,BC,CA then.
  A.  PQR must be an equilateral triangle
  B.  PQR must be an equilateral triangle
  C.  PQR must be an equilateral triangle
  D.  PQR must be an equilateral triangle
     
   
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9. Let ABC be an equilateral triangle and AX,BY,CZ be the altitudes.Then the right statement out of the four given responses is
  A.  AX = BY = CZ
  B.  AX = BY = CZ
  C.  AX = BY = CZ
  D.  AX = BY = CZ
     
   
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10. ABC is an equilateral triangle and CD is the internal bisector of , ∠C.If DC is produced to E such that AC = CE, then angle CAE is equal to 15°
  A.  15°
  B.  15°
  C.  15°
  D.  15°
     
   
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