44. In ∆ABC, the angle opposite to the side AB is
- (A) A
- (B) B
- (C) C
- (D) None of these
43. In the following figure, ∠PRS = ∠QPR + ?
- (A) ∠QPR
- (B) ∠PQR
- (C) ∠PRQ
- (D) ∠SRP
42. In a right-angled triangle, the angles other than the right angle are
- (A) obtuse
- (B) right
- (C) acute
- (D) straight
41. In the following figure, triangle DEF is a right triangle with ∠E = 90°. What type of angles are ∠D and ∠F?
- (A) They are equal angles
- (B) They form a pair of adjacent angles
- (C) They are complementary angles
- (D) They are supplementary angles
40. Lengths of sides of a triangle are 3 cm, 4 cm and 5 cm. The triangle is
- (A) Obtuse angled triangle
- (B) Acute-angled triangle
- (C) Right-angled triangle
- (D) An Isosceles right triangle
39. Which of the following statements is not correct?
- (A) The sum of any two sides of a triangle is greater than the third side
- (B) A triangle can have all its angles acute
- (C) A right-angled triangle cannot be equilateral
- (D) Difference of any two sides of a triangle is greater than the third side
38. In the following figure, side QR of a ∆PQR has been produced to the point S. If ∠PRS = 115° and ∠P = 45°, then ∠Q is equal to
- (A) 70°
- (B) 105°
- (C) 51°
- (D) 80°
37. In the following equilateral triangle ABC, AD is an altitude. Then 4AD2 is equal to
- (A) 2BD2
- (B) BC2
- (C) 3AB2
- (D) 2DC2
36. Which of the following cannot be the sides of a triangle?
- (A) 3 cm, 4 cm, 5 cm
- (B) 2 cm, 4 cm, 6 cm
- (C) 2.5 cm, 3.5 cm, 4.5 cm
- (D) 2.3 cm, 6.4 cm, 5.2 cm
35. The sides of a triangle have lengths (in cm) 10, 6.5 and a, where a is a whole number. The minimum value that a can take is
- (A) 6
- (B) 5
- (C) 3
- (D) 4
34. In the following figure, PQ = PS. The value of x is
- (A) 35°
- (B) 45°
- (C) 55°
- (D) 70°
33. In an isosceles triangle, one angle is 70°. The other two angles are of
(i) 55° and 55° (ii) 70° and 40° (iii) any measure
In the given option(s) which of the above statement(s) are true?
- (A) (i) only
- (B) (ii) only
- (C) (iii) only
- (D) (i) and (ii)
32. In a triangle, one angle is of 90°. Then
(i) The other two angles are of 45° each
(ii) In remaining two angles, one angle is 90° and other is 45°
(iii) Remaining two angles are complementary
In the given option(s) which is true?
- (A) (i) only
- (B) (ii) only
- (C) (iii) only
- (D) (i) and (ii)
31. The top of a broken tree touches the ground at a distance of 12 m from its base. If the tree is broken at a height of 5 m from the ground then the actual height of the tree is
- (A) 25 m
- (B) 13 m
- (C) 18 m
- (D) 17 m