NCERT Class 10 Maths Triangles Chapter Problem Solutions & Video Lessons
#16
NCERT STD 10 Maths- Triangles | Part-16| Exercise-6.5|Problems(1,2 &3) solutions

This class handles solutions to the following problems


6.5.1 Sides of triangles are given below. Determine which of them are right triangles.
In case of a right triangle, write the length of its hypotenuse.
(i)  7cm,24cm,25cm
(ii)  3cm,8cm,6cm
(iii)  50cm,80cm,100cm
(iv)  13cm,12cm,5cm

6.5.2 PQR is a triangle right angled at P and M is a point on QR such that PM ⊥ QR. Show that PM2 = QM • MR.

6.5.3. In the given figure, ABD is a triangle right angled at A and AC i. BD. Show that
(i) AB2 = BC.BD
(ii) AC2 = BC.DC
(iii) AD2 = BD.CD

Watch the class in YouTube for solutions
Reply

#17
NCERT CBSE Class 10 Maths Solutions- Part-17| Exercise-6.5|Problems(4,5,6 &7)

This video handles solutions to the following problems in Textbook

6.5.4. ABC is an isosceles triangle right angled at C. Prove that AB2 = 2AC2.
6.5.5. ABC is an isosceles triangle with AC = BC. If AB2 = 2 AC2, prove that ABC is a right triangle.
6.5.6. ABC is an equilateral triangle of side 2a. Find each of its altitudes.
6.5.7. Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals.



Watch the class in YouTube
Reply

#18
PART 18- Class 10 Mathematics| NCERT / CBSE solutions: Exercise-6.5|Problems(8,9 & 10)

In this class teacher explains the solutions of the following problems

8. In Fig. 6.54, O is a point in the interior of a triangle ABC, OD ⊥ BC, OE ⊥ AC and OF ⊥ AB.
Show that
(i) OA2 + OB2 + OC2 – OD2 – OE2 – OF2 = AF2 + BD2 + CE2,
(ii) AF2 + BD2 + CE2 = AE2 + CD2 + BF2. 


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. 

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?


Watch the class in YouTube
Reply

#19
NCERT Class 10 Maths Video Lessons
Triangles | Part-19| Class 10|Exercise-6.5|Problems(11,12 & 13 )

In this class teacher will help you to find out the solutions of the following problems

 6.5.11. 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 1/ 2 hours?
 

6.5.12. 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.

 6.5.13. 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.


Watch the class in YouTube
Reply

#20
NCERT Class 10 Maths Video Lessons

Triangles | Part-20| Class 10|Exercise-6.5 solutions|Problems(14,16, 16 & 17)

In this class teacher will help you to find out the solutions to the following problems


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

15. [b] [/b]In an equilateral triangle ABC, D is a point on side BC such that BD = 1/3BC. Prove that 9AD2 = 7AB2

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.

17. Tick the correct answer and justify :
In Δ ABC, AB = 63 cm, AC = 12 cm and BC = 6 cm. The angle B is :
(A) 120° (B) 60° © 90° (D) 45°


Watch the class in YouTube for the solutions
Reply



Possibly Related Threads…
Thread Author Replies Views Last Post
  NCERT Class 10 Maths Chapter 7 Coordinate Geometry Solutions and Free online classes victers 5 3,981 12-12-2020, 12:40 AM
Last Post: victers
  NCERT Class 10 Maths Chapter 9 Problems Solutions and Free video classes victers 5 4,326 12-08-2020, 06:31 PM
Last Post: victers
  NCERT Class 10 Maths Chapter 8 Trigonometry Free video classes and solutions victers 10 6,085 11-26-2020, 01:09 PM
Last Post: victers
  NCERT Class 11 Maths Chapter 10 Constructions Problems Solutions and Free classes victers 4 3,698 11-26-2020, 08:59 AM
Last Post: victers
  NCERT Class 10 Maths Chapter 10 Circles Solutions Video Lessons text_book 5 4,381 11-24-2020, 06:42 PM
Last Post: text_book
  NCERT Class 10 Maths Chapter 5 Arithmetic Progression Solutions Video Lessons text_book 16 8,014 11-23-2020, 09:49 AM
Last Post: victers
  NCERT Class 10 Maths Chapter 15- Problem solutions & explanation videos text_book 4 3,789 10-26-2020, 12:32 AM
Last Post: text_book
  NCERT Class 10 Maths Chapter 3- Problem solutions & explanation videos text_book 16 8,546 10-24-2020, 12:25 AM
Last Post: text_book



Users browsing this thread:
1 Guest(s)

Powered By MyBB, © 2002-2024 Melroy van den Berg.