Chapter 6 The Triangle and its Properties Exercise 6.5
Chapter 6 The Triangle and its Properties Exercise 6.5 Question 4. Which of the following can be the sides of a right triangle? (i) 2.5 cm, 6.5 cm, 6 cm. (ii) 2 cm, 2 cm, 5 cm. (iii) 1.5 cm, 2 cm, 2.5 cm Solution: (i) Given sides are 2.5 cm, 6.5 cm, 6 cm. […]
Chapter 6 The Triangle and its Properties Exercise 6.4
Chapter 6 The Triangle and its Properties Exercise 6.4 Question 1. Is it possible to have a triangle with the following sides? (i) 2 cm, 3 cm, 5 cm (ii) 3 cm, 6 cm, 7 cm (iii) 6 cm, 3 cm, 2 cm Solution: We know that for a triangle, the sum of any two […]
Chapter 6 The Triangle and its Properties Exercise 6.3
Chapter 6 The Triangle and its Properties Exercise 6.3 Question 1. Find the value of the unknown x in the following diagrams: Solution: (i) By angle sum property of a triangle, we have ∠x + 50° + 60° = 180° ⇒ ∠x + 110° = 180° ∴ ∠x = 180° – 110° = 70° (ii) […]
Chapter 6 The Triangle and its Properties Exercise 6.2
Chapter 6 The Triangle and its Properties Exercise 6.2 Question 1. Find the value of the unknown exterior angle x in the following diagrams: Solution: (i) ∠x = 50° + 70° = 120° (Exterior angle is equal to sum of its interior opposite angles) (ii) ∠x = 65°+ 45° = 110° (Exterior angle is equal […]
Chapter 6 The Triangle and its Properties Exercise 6.1
Chapter 6 The Triangle and its Properties Exercise 6.1 Question 2. Draw rough sketches for the following: (a) In ∆ABC, BE is a median. (ib) In ∆PQR, PQ and PR are altitudes of the triangle. (c) In ∆XYZ, YL is an altitude in the exterior of the triangle. Solution: Question 3. Verify by drawing a […]
Chapter 5 Lines and Angles
Chapter 5 Lines and Angles Very Short Answer Type Question 1. Find the angles which is of its complement. Solution: Let the required angle be x° its complement = (90 – x)° As per condition, we get Question 2. Find the angles which is of its supplement. Solution: Let the required angle be x°. its supplement = […]
Chapter 5 Lines and Angles Exercise 5.2
Chapter 5 Lines and Angles Exercise 5.2 Question 1. State the property that is used in each of the following statements? (i) If a || b, then ∠1 = ∠5 (ii) If ∠4 = ∠6, then a || b (iii) If ∠4 + ∠5 = 180°, then a || b Solution: (i) Given a || […]
Chapter 5 Lines and Angles Exercise 5.1
Chapter 5 Lines and Angles Exercise 5.1 Question 1. Find the complement of each of the following angles: Solution: (i) Complement of 20° = 90° – 20° = 70° (ii) Complement of 63° = 90° – 63° = 27° (iii) Complement of 57° = 90° – 57° = 33° Question 2. Find the supplement of […]
Chapter 4 Simple Equations
Chapter 4 Simple Equations Very Short Answer Type Question 2. Convert the following equations in statement form: (a) 5x = 20 (b) 3y + 7 = 1 Solution: (a) Five times a number x gives 20. (b) Add 7 to three times a number y gives 1. Question 3. If k + 7 = 10, […]
Chapter 4 Simple Equations Exercise 4.4
Chapter 4 Simple Equations Exercise 4.4 Question 1. Set up equations and solve them to find the unknown numbers in the following cases: (a) Add 4 to eight times a number; you get 60. (b) One-fifth of a number minus 4 gives 3. (c) If I take three-fourths of a number and add 3 to […]