Algebra | Pythagorean Theorem | Pythagoras theorem applications to solve word problems

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Pythagoras Theorem

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Converse of Pythagoras Theorem

In a triangle, if square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is a right angle.

In this video, we learn how to apply Pythagoras Rule to solve Problems on right-triangles.Use parallel lines concept and triangle similarity theorems to prove problems on solving similar triangles.Many Word problems are solved using Pythagoras Theorem.

Reference book for the above video is

National Council of Educational Research and Training (NCERT) Book for class 10 Subject: Maths

This Video is also refers as CBSE class 10 mathts NCERT Solutions Chapter 6 Triangles.

00:04 Q9. 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.

01:27 Pythagoras rule

02:49 Word problems Pythagoras Theorem

Q10. 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?

04:31 Pythagoras Theorem Application

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

05:42 Pythagoras Theorem Word problems

05:43 Q11. An aeroplane leaves an airport and flies due north at a speed of 1000 km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1200 km per hour. How far apart will be the two planes after 1 and 1/2 hours?

09:09 Pythagoras Law

11:08 Worked out Word problems on Pythagoras Theorem.

Q12. 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.

12:31 Pythagoras Rule

14:35 Q13. D and E are points on the sides CA and CB respectively of a triangle ABC right angled at C. Prove that AE^2 + BD^2 = AB^2 +DE^2.

16:04 Pythagoras Theorem

18:46 Q14. The perpendicular from A on side BC of a? ABC intersects BC at D such that DB = 3 CD(see Fig. 6.55). Prove that 2AB2 =2 AC2 + BC2.

20:35 Pythagoras Theorem

22:20 Deductions to simplify and prove the results.

learncbse.in

CBSE solutions for class 10 maths Chapter 6 Triangles Exercise 6.3

CBSE class 10 maths NCERT Solutions chapter 6 Triangles Exercise 6.2 | Thales Theorem

CBSE class 10 maths NCERT Solutions chapter 6 Triangles

Solutions for CBSE class 10 Maths Chapter 6

NCERT solutions for class 10 maths Triangles

NCERT solutions for CBSE class 10 maths Triangles

CBSE class 10 maths solutions Triangles

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