NCERT Solutions for Class 7 Maths Chapter 6

NCERT Solutions for Class 7 Maths Chapter 6 Triangle and its Properties Exercise 6.1, Exercise 6.2, Exercise 6.3, Exercise 6.4 and Exercise 6.5 in English Medium updated for new academic session 2020-2021.

Download solutions of प्रश्नावली 6.1, प्रश्नावली 6.2, प्रश्नावली 6.3, प्रश्नावली 6.4 and प्रश्नावली 6.5 in हिंदी मीडियम also updated for session 2020-21. All the solutions are according to NCERT Books 2020-2021. Videos related to each exercises are also given to understand easily. Download Offline Apps free for offline use.



NCERT Solutions for Class 7 Maths Chapter 6

Class:7
Subject:Maths – गणित
Chapter 6:Triangle and its Properties

7 Maths Chapter 6 Solutions

7 Maths all five exercises of Chapter 6 Triangle and its Properties solutions with complete description of each and every question are given below. For offline use, you may use Offline Apps for 2020-21.




About NCERT Solutions for Class 7 Maths Chapter 6




In 7 Maths Chapter 6 Triangle and its Properties, we will study about the various properties of a triangle. We know that a triangle is a simple closed curve made of three line segments. It has three vertices, three sides and three angles. It can be classified on the basis of sides and angles as follows:
1. Based on Sides: Scalene, Isosceles and Equilateral triangles.
2. Based on Angles: Acute-angled, Obtuse-angled and Right-angled triangles.
Read the following concepts before going through the chapter:
1. Median of a triangle is a line segment drawn form vertex to the mid-point of opposite side. So, a triangle can have three medians drawn from three vertices.
2. Altitude of a triangle is a perpendicular line drawn from vertex to opposite side. Like median, a triangle can have three altitudes drawn from three vertices.
3. An exterior angle of a triangle is equal to the sum of its interior opposite angles.
4. Angle sum property of Triangle: The sum of all the three interior angles of a triangle is 180°.

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Important Questions on Class 7 Maths Chapter 6

PQR is a triangle, right angled at P. If PQ = 10 cm and PR = 24 cm, find QR.
Given: PQ = 10 cm, PR = 24 cm
Let QR be x cm.
In right angled triangle QPR,
(Hypotenuse)2 = (Base)2 + (Perpendicular)2
[By Pythagoras theorem]
(QR)2 = (PQ)2 + (PR)2
x^2 = 10^2 + 24^2
x^2 = 100 + 576 = 676
x = 26 cm
Thus, the length of QR is 26 cm.
निम्न दी गई भुजाओं की मापों से क्या कोई त्रिभुज संभव है? 2 cm, 3 cm, 5 cm
2 cm, 3 cm, 5 cm
2 + 3 > 5 संभव नहीं है
2 + 5 > 3 संभव है
3 + 5 > 2 संभव है
अतः, त्रिभुज संभव नहीं है।
ABC is a triangle, right angled at C. If AB = 25 cm and AC = 7 cm, find BC.
Given: AB = 25 cm, AC = 7 cm
Let BC be x cm.
In right angled triangle ACB,
(Hypotenuse)2 = (Base)2 + (Perpendicular)2 [By Pythagoras theorem]
(AB)^2 = (AC)^2 + (BC)^2
25^2 = 7^2 + x^2
625 = 49 + x^2
x^2 = 625 – 49 = 576
x = 24 cm
Thus, the length of BC is 24 cm.
त्रिभुज PQR के अभ्यंतर में कोई बिंदु O लीजिए। क्या यह सही है कि OP + OQ > PQ?
हाँ, क्योंकि POQ एक त्रिभुज है और त्रिभुज की कोई दो भुजाओं के मापों का योग, तीसरी भुजा की माप से अधिक होती है।
त्रिभुज PQR के अभ्यंतर में कोई बिंदु O लीजिए। क्या यह सही है कि OQ + OR > QR?
हाँ, क्योंकि, RQO एक त्रिभुज है और त्रिभुज की कोई दो भुजाओं के मापों का योग, तीसरी भुजा की माप से अधिक होती है।

NCERT Solutions for Class 7 Maths Chapter 6 Triangle and its Properties Exercise 6.1
NCERT Solutions for Class 7 Maths Chapter 6 Triangle and its Properties Exercise 6.2
NCERT Solutions for Class 7 Maths Chapter 6 Triangle and its Properties Exercise 6.3
7 Maths exercise 6.3
7 Maths Chapter 6 Exercise 6.4
7 Maths Chapter 6 Exercise 6.4 sols in pdf
7 Maths Triangle and its Properties Exercise 6.5
7 Maths Triangle and its Properties Exercise 6.5 sols in pdf form free downlaod
7 Maths Triangle and its Properties Exercise 6.5 all question answers guide
7 Maths Chapter 6 Exercise 6.1
7 Maths Chapter 6 Exercise 6.2
7 Maths Chapter 6 Exercise 6.3
7 Maths Chapter 6 Exercise 6.3 guide free pdf
7 Maths Chapter 6 Exercise 6.4
7 Maths Chapter 6 Exercise 6.4 free download
7 Maths Chapter 6 Exercise 6.5
7 Maths Chapter 6 Exercise 6.5 download in pdf form free
7 Maths Chapter 6 Exercise 6.5 guide free