• RD Sharma
    • RD Sharma Class 12 Solutions
    • RD Sharma Class 11 Solutions
    • RD Sharma Class 10 Solutions
    • RD Sharma Class 9 Solutions
    • RD Sharma Class 8 Solutions
    • RD Sharma Class 7 Solutions
    • RD Sharma Class 6 Solutions
  • JEE Main
  • Class 12
    • Class 12 Science
      • NCERT Solutions for Class 12 Maths
      • NCERT Solutions for Class 12 Physics
      • NCERT Solutions for Class 12 Chemistry
      • NCERT Solutions for Class 12 Biology
      • NCERT Solutions for Class 12 Economics
      • NCERT Solutions for Class 12 Computer Science (Python)
      • NCERT Solutions for Class 12 Computer Science (C++)
      • NCERT Solutions for Class 12 English
      • NCERT Solutions for Class 12 Hindi
    • Class 12 Commerce
      • NCERT Solutions for Class 12 Maths
      • NCERT Solutions for Class 12 Business Studies
      • NCERT Solutions for Class 12 Accountancy
      • NCERT Solutions for Class 12 Micro Economics
      • NCERT Solutions for Class 12 Macro Economics
      • NCERT Solutions for Class 12 Entrepreneurship
    • Class 12 Humanities
      • NCERT Solutions for Class 12 History
      • NCERT Solutions for Class 12 Political Science
      • NCERT Solutions for Class 12 Economics
      • NCERT Solutions for Class 12 Sociology
      • NCERT Solutions for Class 12 Psychology
  • Class 11
    • Class 11 Science
      • NCERT Solutions for Class 11 Maths
      • NCERT Solutions for Class 11 Physics
      • NCERT Solutions for Class 11 Chemistry
      • NCERT Solutions for Class 11 Biology
      • NCERT Solutions for Class 11 Economics
      • NCERT Solutions for Class 11 Computer Science (Python)
      • NCERT Solutions for Class 11 English
      • NCERT Solutions for Class 11 Hindi
    • Class 11 Commerce
      • NCERT Solutions for Class 11 Maths
      • NCERT Solutions for Class 11 Business Studies
      • NCERT Solutions for Class 11 Accountancy
      • NCERT Solutions for Class 11 Economics
      • NCERT Solutions for Class 11 Entrepreneurship
    • Class 11 Humanities
      • NCERT Solutions for Class 11 Psychology
      • NCERT Solutions for Class 11 Economics
      • NCERT Solutions for Class 11 Indian Economic Development
  • Class 10
    • NCERT Solutions for Class 10 Maths
    • NCERT Solutions for Class 10 Science
    • NCERT Solutions for Class 10 Social Science
    • NCERT Solutions for Class 10 English
    • NCERT Solutions For Class 10 Hindi Sanchayan
    • NCERT Solutions For Class 10 Hindi Sparsh
    • NCERT Solutions For Class 10 Hindi Kshitiz
    • NCERT Solutions For Class 10 Hindi Kritika
    • NCERT Solutions for Class 10 Sanskrit
    • NCERT Solutions for Class 10 Foundation of Information Technology
  • Class 9
    • NCERT Solutions for Class 9 Maths
    • NCERT Solutions for Class 9 Science
    • NCERT Solutions for Class 9 Social Science
    • NCERT Solutions for Class 9 English
    • NCERT Solutions for Class 9 Hindi
    • NCERT Solutions for Class 9 Sanskrit
    • NCERT Solutions for Class 9 Foundation of IT
  • NCERT Solutions
    • NCERT Solutions for Class 12
    • NCERT Solutions for Class 11
    • NCERT Solutions for Class 10
    • NCERT Solutions for Class 9
    • NCERT Solutions for Class 8
    • NCERT Solutions for Class 7
    • NCERT Solutions for Class 6
    • NCERT Solutions for Class 5
    • NCERT Solutions for Class 4
    • NCERT Solutions for Class 3
  • CBSE Sample Papers
    • CBSE Sample Papers for Class 12
    • CBSE Sample Papers for Class 11
    • CBSE Sample Papers for Class 10
    • CBSE Sample Papers for Class 9
    • CBSE Sample Papers Class 8
    • CBSE Sample Papers Class 7
    • CBSE Sample Papers Class 6
  • Lakhmir Singh
    • Lakhmir Singh Class 10 Physics
    • Lakhmir Singh Class 10 Chemistry
    • Lakhmir Singh Class 10 Biology
    • Lakhmir Singh Class 9 Physics
    • Lakhmir Singh Class 9 Chemistry
    • PS Verma and VK Agarwal Biology Class 9 Solutions

Learn CBSE

NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12

NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.5

November 21, 2018 by Veerendra

Get Free NCERT Solutions for Class 10 Maths Chapter 6 Ex 6.5 PDF. Triangles Class 10 Maths NCERT Solutions are extremely helpful while doing your homework. Exercise 6.5 Class 10 Maths NCERT Solutions were prepared by Experienced LearnCBSE.in Teachers. Detailed answers of all the questions in Chapter 6 Maths Class 10 Triangles Exercise 6.5 provided in NCERT TextBook.

  • Triangles Class 10 Ex 6.1
  • Triangles Class 10 Ex 6.2
  • Triangles Class 10 Ex 6.3
  • Triangles Class 10 Ex 6.4
  • Triangles Class 10 Ex 6.5
  • Triangles Class 10 Ex 6.6
  • Extra Questions for Class 10 Maths Triangles

You can also download the free PDF of Ex 6.5 Class 10 Triangles NCERT Solutions or save the solution images and take the print out to keep it handy for your exam preparation.

6. Triangles
6.1 Introduction
6.2 Similar Figures
6.3 Similarity Of Triangles
6.4 Criteria For Similarity Of Triangles
6.5 Areas Of Similar Triangles
6.6 Pythagoras Theorem
6.7 Summary

BoardCBSE
TextbookNCERT
ClassClass 10
SubjectMaths
ChapterChapter 6
Chapter NameTriangles
ExerciseEx 6.5
Number of Questions Solved17
CategoryNCERT Solutions

NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.5

NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex Ex 6.5 are part of NCERT Solutions for Class 10 Maths. Here we have given NCERT Solutions for Class 10 Maths Chapter 6 Triangles Exercise 6.5

Question 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) 7 cm, 24 cm, 25 cm
(ii) 3 cm, 8 cm, 6 cm
(iii) 50 cm, 80 cm, 100 cm
(iv) 13 cm, 12 cm, 5 cm
Solution:
Ex 6.5 Class 10 Maths NCERT Solutions PDF Q1

Question 2.
PQR is a triangle right angled at P and M is a point on QR such that PM ⊥ QR. Show that PM2 = QM X MR.
Solution:
Ex 6.5 Class 10 Maths NCERT Solutions PDF Q2

Download NCERT Solutions For Class 10 Maths Chapter 6 Triangles PDF

Question 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
NCERT Solutions for Class 10 Maths Chapter 6 pdf Triangles Ex 6.5 Q3Solution:
Ex 6.5 Class 10 Maths NCERT Solutions PDF Q3

Question 4.
ABC is an isosceles triangle right angled at C. Prove that AB2 = 2AC2.
Solution:
Ex 6.5 Class 10 Maths NCERT Solutions PDF Q4

Question 5.
ABC is an isosceles triangle with AC = BC. If AB2 = 2AC2 , Prove that ABC is a right triangle.
Solution:
Exercise 6.5 Class 10 Maths NCERT Solutions PDF Q5

Question 6.
ABC is an equilateral triangle of side la. Find each of its altitudes.
Solution:
Exercise 6.5 Class 10 Maths NCERT Solutions PDF Q6

Question 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.
Solution:
Exercise 6.5 Class 10 Maths NCERT Solutions PDF Q7

Question 8.
In the given figure, 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.
NCERT Solutions for Class 10 Maths Chapter 6 pdf Triangles Ex 6.5 Q8Solution:
Triangles Class 10 Ex 6.5 NCERT Solutions PDF Q8

Question 9.
A ladder 10 m long reaches a window 8 m above the ground. ind the distance of the foot of the ladder from base of the wall.
Solution:
Triangles Class 10 Ex 6.5 NCERT Solutions PDF Q9

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:
Triangles Class 10 Ex 6.5 NCERT Solutions PDF Q10

Question 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\frac { 1 }{ 2 } hours?
Solution:
Chapter 6 Maths Class 10 Ex 6.5 NCERT Solutions PDF Q11

Question 12.
Two poles of heights 6 m and 11m stand on a plane ground. If the distance between the feet of the poles is 12 m, find the distance between their tops.
Solution:
Chapter 6 Maths Class 10 Ex 6.5 NCERT Solutions PDF Q12

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:
Chapter 6 Maths Class 10 Ex 6.5 NCERT Solutions PDF Q13

Question 14.
The perpendicular from A on side BC of a ∆ABC intersects BC at D such that DB = 3CD (see the figure). Prove that 2AB2 = 2AC2 + BC2.
NCERT Solutions for Class 10 Maths Chapter 6 pdf Triangles Ex 6.5 Q14Solution:
Ch 6 Maths Class 10 Ex 6.5 NCERT Solutions PDF Q14

Question 15.
In an equilateral triangle ABC, D is a point on side BC, such that BD = \frac { 1 }{ 3 }BC. Prove that 9AD2 = 7AB2.
Solution:
Ch 6 Maths Class 10 Ex 6.5 NCERT Solutions PDF Q15

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:
Class 10 Maths Chapter 6 Ex 6.5 NCERT Solutions PDF Q16

Question 17.
Tick the correct answer and justify : In ∆ABC, AB = 6\sqrt { 3 } cm, AC = 12 cm and BC = 6 cm. The angle B is:
(a) 120°
(b) 60°
(c) 90°
(d) 45
Solution:
Class 10 Maths Chapter 6 Ex 6.5 NCERT Solutions PDF Q17

We hope the NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.5, help you. If you have any query regarding NCERT Solutions for Class 10 Maths Chapter 6 Triangles Exercise 6.5, drop a comment below and we will get back to you at the earliest.

Advertisements

Share this:

  • Click to share on WhatsApp (Opens in new window)
  • Click to share on Facebook (Opens in new window)
  • Click to share on Google+ (Opens in new window)
  • Click to share on Twitter (Opens in new window)
  • Click to share on Pinterest (Opens in new window)
  • More
  • Click to email this to a friend (Opens in new window)

Filed Under: CBSE Tagged With: Maths NCERT Solutions For Class 10, Maths Solutions For Class 10 NCERT, NCERT Maths Solutions For Class 10, NCERT Solutions for Class 10 Maths, NCERT Solutions for Class 10 Maths Chapter 6, NCERT Solutions For Class 10 Maths Pdf, NCERT Solutions For Maths Class 10, NCERT Solutions Of Maths For Class 10, Solutions For NCERT Maths Class 10

NCERT Exemplar problems With Solutions CBSE Previous Year Questions with Solutoins

Recent Posts

  • NCERT Solutions for Class 1 English Chapter 21 The Tailor and his Friend
  • NCERT Solutions for Class 1 English Chapter 20 Flying-Man
  • NCERT Solutions for Class 1 English Chapter 19 Anandi’s Rainbow
  • NCERT Solutions for Class 1 English Chapter 18 Clouds
  • NCERT Solutions for Class 1 English Chapter 17 The Tiger and the Mosquito
  • NCERT Solutions for Class 1 English Chapter 16 A Little Turtle
  • NCERT Solutions for Class 1 English Chapter 15 Sundari
  • NCERT Solutions for Class 1 English Chapter 14 A Kite
  • NCERT Solutions for Class 2 English Chapter 21 The Grasshopper and the Ant
  • NCERT Solutions for Class 1 English Chapter 13 Murali’s Mango Tree

RD Sharma Solutions

RD Sharma Class 12 SolutionsRD Sharma Class 11
RD Sharma Class 10RD Sharma Class 9
RD Sharma Class 8RD Sharma Class 7
RD Sharma Class 6TS Grewal Accountacy

NCERT Solutions

NCERT Solutions for Class 10
NCERT Solutions for Class 9
NCERT Solutions for Class 8
NCERT Solutions for Class 7
NCERT Solutions for Class 6

Social Profiles

Like us on FacebookFollow us on Twitter
Watch Youtube Videos Follow us on Google Plus
NCERT Exemplar Problems

Copyright © 2019 · Magazine Pro Theme on Genesis Framework · WordPress · Log in

loading Cancel
Post was not sent - check your email addresses!
Email check failed, please try again
Sorry, your blog cannot share posts by email.