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# Grade 7 Maths Ncert solutions Triangle and its Properties

NCERT books are recommended text book for CBSE school curriculum. Most of the govt aided and private schools in India follow NCERT text books as the syllabus books for school subjects. They are written by eminent academicians and scholars from leading universities and academic institutions in India, and help in building a strong base, as well help understand each concept by relevant examples and exercises. They are termed best in term of concept building, for their usage of real life practical examples, and good end of the chapter exercises.

In this article, we have shared solved NCERT exercises for Class 7 maths triangle and its properties chapter.  Triangles and its properties is an important chapter, as it set a base for the geometry for the future classes. These NCERT solutions will help students in solving their doubts and clarifying confusion regarding confusions regarding this chapter. Students can refer to NCERT solutions for properties of triangle chapter for their conceptual understanding, as well as matching their own answers with the right solutions of the exercises.

## Class 7 math ncert solution triangles and its properties chapter

Exercise 6.1 solutions

Q1 – In ∆ PQR, D is the mid-point of QR . PM is _________________. PD is _________________. Is QM = MR? View solution

Q2 – Draw rough sketches for the following: (a) In ∆ABC, BE is a median. (b) In ∆PQR, PQ and PR are altitudes of the triangle. (c) In ∆XYZ, YL is an altitude in the exterior of the triangle. View solution

Q3 – Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same. View solution

Exercise 6.2 solutions

Q1 – Find the value of the unknown exterior angle x in the following diagrams: View solution

Q2 – Find the value of the unknown interior angle x in the following figures: View solution

Exercise 6.3

Q1 – Find the value of the unknown x in the following diagrams: View solution

Q2 – Find the values of the unknowns x and y in the following diagrams: View solution

Exercise 6.4 solutions

Q1 – Is it possible to have a triangle with the following sides? (i) 2 cm, 3 cm, 5 cm (ii) 3 cm, 6 cm, 7 cm (iii) 6 cm, 3 cm, 2 cm  View solution

Q2 – Take any point O in the interior of a triangle PQR. Is (i) OP + OQ > PQ? (ii) OQ + OR > QR? (iii) OR + OP > RP? View solution

Q3 – AM is a median of a triangle ABC. Is AB + BC + CA > 2 AM? (Consider the sides of triangles ∆ABM and ∆AMC.) View solution

Q4 – ABCD is a quadrilateral. Is AB + BC + CD + DA > AC + BD? View solution

Q5 – ABCD is quadrilateral. Is AB + BC + CD + DA < 2 (AC + BD)? View solution

Q6 – The lengths of two sides of a triangle are 12 cm and 15 cm. Between what two measures should the length of the third side fall? View solution

Exercise 6.5 solutions

Q1 – PQR is a triangle, right-angled at P. If PQ = 10 cm and PR = 24 cm, find QR. View solution

Q2 – ABC is a triangle, right-angled at C. If AB = 25 cm and AC = 7 cm, find BC. View solution

Q3 – A 15 m long ladder reached a window 12 m high from the ground on placing it against a wall at a distance a. Find the distance of the foot of the ladder from the wall.  View solution

Q4 – Which of the following can be the sides of a right triangle? (i) 2.5 cm,6.5 cm, 6 cm. (ii) 2 cm, 2 cm, 5 cm. (iii) 1.5 cm, 2cm, 2.5 cm. In the case of right-angled triangles, identify the right angles.  View solution

Q5 – A tree is broken at a height of 5 m from the ground and its top touches the ground at a distance of 12 m from the base of the tree. Find the original height of the tree View solution

Q6 – Angles Q and R of a ∆PQR are 25º and 65º. Write which of the following is true: View solution

Q7 – Find the perimeter of the rectangle whose length is 40 cm and a diagonal is 41 cm. View solution

Q8 – The diagonals of a rhombus measure 16 cm and 30 cm. Find its perimeter. View solution

## End Note

In the article, we have shared solutions for ncert exercises for class 7 maths for triangle and its properties chapter. Students can click to respective chapters and refer to the right solution. We advise students to refer to them as clearing their concepts, and matching their solutions. Student should not use them to copy solutions for their homework and instead should try to solve homework on own, as it will impact their learning process.

In case you have any doubts regarding solution, or need further clarification, you can write to us. You can also reach out to us, in case you have doubt in other text books’ problems or school exam papers. We will be glad to assist you in helping with your doubt.