 # 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