# NCERT Solutions For Class 10 Maths Chapter 6 Triangles Ex 6.2

### Ex 6.2 Class 10 Maths Question 1.

In the given figure (i) and (ii), DE || BC. Find EC in (i) and AD in (ii).

### Ex 6.2 Class 10 Maths Question 2.

E and F are points on the sides PQ and PR respectively of a ∆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

### Ex 6.2 Class 10 Maths Question 3.

In the given figure, if LM || CB and LN || CD.
Prove that

### Ex 6.2 Class 10 Maths Question 4.

In the given figure, DE || AC and DF || AE.

### Ex 6.2 Class 10 Maths Question 5.

In the given figure, DE || OQ and DF || OR. Show that EF || QR.

### Ex 6.2 Class 10 Maths Question 6.

In the given figure, A, B and C are points on OP, OQ and OR respectively such that AB || PQ and AC || PR. Show that BC || QR.

### Ex 6.2 Class 10 Maths Question 7.

Using B.P.T., 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 your have proved it in class IX)

### Ex 6.2 Class 10 Maths Question 8.

Using converse of B.P.T., prove that the line joining the mid-points of any two sides of a triangle is parallel to the third side.  (Recall that your have done it in class IX)

### Ex 6.2 Class 10 Maths Question 9.

ABCD is a trapezium in which AB || DC and its diagonals intersect each other at the point O. Show that

### Ex 6.2 Class 10 Maths Question 10.

The diagonals of a quadrilateral ABCD intersect each other at the point O such that Show that ABCD is a trapezium.