NCERT Solution For Class 7 Maths – The Triangle And Its Properties

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.