Theorem 6.3 Class 9 Maths
Statement: If a transversal intersects two lines such that a pair of alternate interior angles is equal, then the two lines are parallel.
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Statement: If a transversal intersects two lines such that a pair of alternate interior angles is equal, then the two lines are parallel.
Click Here to Continue ReadingTriangles | Chapter 6 Exercise 6.5 Question 17: Tick the correct answer and justify: In ∆ABC, AB = cm, AC = 12 cm and BC = 6 cm. The angle B is: (A) 120° (B) 60° (C) 90° (D) 45° Solution: Detailed explanation of exercise 6.5 question 17 is given in the below image and YouTube […]
Click Here to Continue ReadingTriangles | Chapter 6 Exercise 6.5 Question 16: In an equilateral triangle, prove that three times the square of one side is equal to four times the square of one of its altitudes. Solution: Detailed explanation of exercise 6.5 question 16 is given in the below image and YouTube video. Next Post
Click Here to Continue ReadingTriangles | Chapter 6 Exercise 6.5 Question 15: In an equilateral triangle ABC, D is a point on side BC such that BD = BC. Prove that 9 AD2 = 7 AB2. Solution: Detailed explanation of exercise 6.5 question 15 is given in the below image and YouTube video. Next Post
Click Here to Continue ReadingTriangles | Chapter 6 Exercise 6.5 Question 14: The perpendicular from A on side BC of a ∆ABC intersect BC at D such that DB = 3. Prove that 2 AB2 = 2 AC2 + BC2 Solution: Detailed explanation of exercise 6.5 question 14 is given in the below image and YouTube video. Next Post
Click Here to Continue ReadingTriangles | Chapter 6 Exercise 6.5 Question 13: D and E are points on the sides CA and CB respectively of a triangle ABC right angled at C. Prove that AE2 + BD2 = AB2 + DE2 Solution: Detailed explanation of exercise 6.5 question 13 is given in the below image and YouTube video. Next Post
Click Here to Continue ReadingTriangles | Chapter 6 Exercise 6.5 Question 12: Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between the feet of the poles is 12 m, find the distance between their tops. Solution: Detailed explanation of exercise 6.5 question 12 is given in the below image and YouTube […]
Click Here to Continue ReadingTriangles | Chapter 6 Exercise 6.5 Question 11: An aeroplane leaves an airport and flies due north at a speed of 1,000 km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1,200 km per hour. How far apart will be the two planes […]
Click Here to Continue ReadingTriangles | Chapter 6 Exercise 6.5 Question 10: A guy wire attached to a vertical pole of height 18 m is 24 m long and has a stake attached to the other end. How far from the base of the pole should the stake be driven so that the wire will be taut? Solution: Detailed explanation […]
Click Here to Continue ReadingTriangles | Chapter 6 Exercise 6.5 Question 9: A ladder 10 m long reaches a window 8 m above the ground. Find the distance of the foot of the ladder from base of the wall. Solution: Detailed explanation of exercise 6.5 question 9 is given in the below image and YouTube video. Next Post
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