7. Using Basic Proportionality Theorem, 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).
Triangles
Exercise 6.2
Class 10
Triangles
Exercise 6.2
1. In Fig. (i) and (ii), DE || BC. Find EC in (i) AD in (ii).
2. E and F are points on the sides PQ and PR respectively of a ΔPQR. State whether EF || QR, if:
(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.
3. In Figure, if LM || CB and LN || CD, prove that (frac{AM}{AB}=frac{AN}{AD}).
4. In Figure, DE || AC and DF || AE. Prove that (frac{BF}{FE}=frac{BE}{EC}).
5. In Figure, DE || OQ and DF || OR. Show that EF || QR.
9. ABCD is a trapezium in which AB || DC and its diagonals intersect each other at the point O.
