NCERT Solutions for Class 10 Maths Chapter 6 Triangles — Exercise 6.2

NCERT class 10 maths chapter 6 Triangles

Question 1:In Fig. 6.17, (i) and (ii), DE || BC. Find EC in (i) and AD in (ii). Fig. 6.17

Exercise 6.2 maths class 10 Chapter 6 Triangles

Question 2:E and F are points on the sides PQ and PR respectively of a D PQR. For each of the following cases, state whether EF || QR : (i) PE = 3.9 cm, EQ = 3 cm, PF = 3.6 cm and FR = 2.4 cm (ii) PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm (iii) PQ = 1.28 cm, PR = 2.56 cm, PE = 0.18 cm and PF = 0.36 cm

CBSE class 10 maths ncert solutions Chapter 6

Question 3:In Fig. 6.18, if LM || CB and LN || CD, prove that AM AN AB AD = ×

class 10 maths solutions Triangles

Question 4:In Fig. 6.19, DE || AC and DF || AE. Prove that BF BE FE EC = ×

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Question 5:In Fig. 6.20, DE || OQ and DF || OR. Show that EF || QR.

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Question 6:In Fig. 6.21, A, B and C are points on OP, OQ and OR respectively such that AB || PQ and AC || PR. Show that BC || QR.

Question 7:Using Theorem 6.1, prove that a line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side. (Recall that you have proved it in Class IX).

Exercise 6.2 class 10 Math ncert solutions Chapter 6

Question 8:Using Theorem 6.2, prove that the line joining the mid-points of any two sides of a triangle is parallel to the third side. (Recall that you have done it in Class IX).

1. In Fig. 6.17, (i) and (ii), DE || BC. Find EC i

Question 9:ABCD is a trapezium in which AB || DC and its diagonals intersect each other at the point O. Show that AO CO BO DO = ×

Question 10:The diagonals of a quadrilateral ABCD intersect each other at the point O such that AO CO BO DO = × Show that ABCD is a trapezium.