The Triangle and its Properties

59. The sum of the three angles of a triangle is

  • (A) 60°        
  • (B) 185°      
  • (C) 90°        
  • (D) 180°

58. The measure of any exterior angle of a triangle is equal to

  • (A) the sum of the measures of its two interior opposite angles        
  • (B) the sum of the measures of its any two interior angles      
  • (C) the sum of the measures of its two exterior opposite angles        
  • (D) the sum of the measures of its two exterior angles

57. The line segment joining a vertex of a triangle to the mid-point of its opposite side is called its

  • (A) Perpendicular 
  • (B) Median 
  • (C) Height 
  • (D) Altitude

56. How many altitudes can a triangle have?

  • (A) 0 
  • (B) 1 
  • (C) 2 
  • (D) 3

55. How many medians can a triangle have?

  • (A) 0 
  • (B) 1 
  • (C) 2 
  • (D) 3

54. The name of the triangle in which two altitudes of the triangle are two of its sides, is

  • (A) Equilateral      
  • (B) Acute angled  
  • (C) Right angled
  • (D) Obtuse angled

53. The name of the triangle in which the altitudes and medians are the same, is

  • (A) Equilateral      
  • (B) Acute angled  
  • (C) Right angled
  • (D) Obtuse angled

52. If all the sides of a triangle are equal, it is known as

  • (A) Scalene 
  • (B) Isosceles
  • (C) Right angled
  • (D) Equilateral

51. If each angle of a triangle is of measure 60°, it is known as

  • (A) Scalene 
  • (B) Equilateral     
  • (C) Right angled
  • (D) Equilateral

50. If two angles of a triangle are 60° each, then the triangle is

  • (A) Isosceles but not equilateral
  • (B) Scalene
  • (C) Equilateral     
  • (D) Right-angled

49. In a triangle if at least two of its sides are of the same length, it is known as

  • (A) Scalene 
  • (B) Equilateral     
  • (C) Isosceles
  • (D) Right-angled

48. In a right-angled triangle, the side opposite to the right angle is called the

  • (A) hypotenuse    
  • (B) base      
  • (C) perpendicular
  • (D) none of these

47. If the three sides of a triangle ABC are AB, BC and CA, then which of the following is always true?

  • (A) AB + BC > CA 
  • (B) CA + AC > AB 
  • (C) AB + BC < CA
  • (D) AB + BC = CA

46. If the three sides of a triangle ABC are AB, BC and CA, then which of the following is always true?

  • (A) ABBC > CA 
  • (B) CAAC > AB 
  • (C) ABBC < CA
  • (D) ABBC = CA

45. In ∆ABC, the side opposite to vertex A is

  • (A) AB        
  • (B) BC        
  • (C) CA 
  • (D) None of these

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