**NCERT Solutions** is known as an extremely helpful resource for preparing for the exam. Takshila Learning provides its learners with access to a wealth of NCERT problems and their solutions. **CBSE Class 7 Science** NCERT Solutions are built by subject matter experts, so be sure to train learners for a good grade. The questions set out in the NCERT

**NCERT Solution For Class 7 Maths – Integers **provides us with all-inclusive information on all concepts. As students would have to learn the basics about the subject in class 7, this curriculum for class 7 is comprehensive study material, which explains the concepts in a great way.

**Questions Covered : **

**Question 1 : **In ΔPQR, D is the mid-point of .

is __________.

PD is __________.

Is QM = MR?

**Question 2 : **Draw rough sketches for the following:

(a) In ΔABC, BE is a median.

(b) In ΔPQR, PQ and PR are altitudes of the triangle.

(c) In ΔXYZ, YL is an altitude in the exterior of the triangle.

**Question 3 : **Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.

**Question 4 : **Find the value of the unknown exterior angle x in the following diagram:

(i)

(ii)

(iii)

(iv)

(v)

(vi)

**Question 5 : **Find the value of the unknown interior angle x in the following figures:

(i)

(ii)

(iii)

(iv)

(v)

(vi)

**Question 6 : **Find the value of the unknown x in the following diagrams:

(i)

(ii)

(iii)

(iv)

(v)

(vi)

**Question 7 : **Find the values of the unknowns x and y in the following diagrams:

(i)

(ii)

(iii)

(iv)

(v)

(vi)

**Question 8 : **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

**Question 9 : **Take any point O in the interior of a triangle PQR. Is

(i) OP + OQ > PQ?

(ii) OQ + OR > QR?

(iii) OR + OP > RP?

**Question 10 : **AM is a median of a triangle ABC.

Is AB + BC + CA > 2 AM?

(Consider the sides of triangles ΔABM and ΔAMC.)

**Question 11 : **ABCD is a quadrilateral.

Is AB + BC + CD + DA > AC + BD?

**Question 12 : **ABCD is quadrilateral. Is AB + BC + CD + DA < 2 (AC + BD)

**Question 13 : **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?

**Question 14 : **PQR is a triangle, right angled at P. If PQ = 10 cm and PR = 24 cm, find QR.

**Question 15 : **ABC is a triangle, right angled at C. If AB = 25 cm and AC = 7 cm, find BC.

**Question 16 : **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.

**Question 17 : **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, 2 cm, 2.5 cm

**Question 18 : **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.

**Question 19 : **Angles Q and R of a APQR are 25° and 65°. Write which of the following is true.

(i) PQ2 + QR2 = RP2

(ii) PQ2 + RP2 = QR2

(iii) RP2 + QR2 = PQ2

**Question 20 : **Find the perimeter of the rectangle whose length is 40 cm and a diagonal is 41 cm.

**Question 21 : **The diagonals of a rhombus measure 16 cm and 30 cm. Find its perimeter.

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**NCERT Solutions For Class 11 Subjects**

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**NCERT Solutions For Class 7 Maths**

**NCERT Solutions for Class 7 Maths Chapter 1**

**NCERT Solutions for Class 7 Maths Chapter 2**

**NCERT Solutions for Class 7 Maths Chapter 3**

**NCERT Solutions for Class 7 Maths Chapter 4**

**NCERT Solutions for Class 7 Maths Chapter 5**

**NCERT Solutions for Class 7 Maths Chapter 6**

**NCERT Solutions for Class 7 Maths Chapter 7**

**NCERT Solutions for Class 7 Maths Chapter 8**

**NCERT Solutions for Class 7 Maths Chapter 9**

**NCERT Solutions For Class 7 Maths**

**NCERT Solutions for Class 7 Maths Chapter 10**

**NCERT Solutions for Class 7 Maths Chapter 11**

**NCERT Solutions for Class 7 Maths Chapter 12**

**NCERT Solutions for Class 7 Maths Chapter 13**

**NCERT Solutions for Class 7 Maths Chapter 14**

**NCERT Solutions for Class 7 Maths Chapter 15**

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