**(a) In the figure (1) given below, D, E and F are mid-points of the sides BC, CA and AB respectively of ∆ ABC. If AB = 6 cm, BC = 4.8 cm and CA= 5.6 cm, find the perimeter of (i) the trapezium FBCE (ii) the triangle DEF.**

**(b) In the figure (2) given below, D and E are mid-points of the sides AB and AC respectively. If BC =**

**5.6 cm and∠B = 72°, compute (i) DE (ii)∠ADE.**

**(c) In the figure (3) given below, D and E are mid-points of AB, BC respectively and DF || BC. Prove that DBEF is a parallelogram. Calculate AC if AF = 2.6 cm.**

**Solution:**

**(a) (i) Given :** AB = 6 cm, BC = 4.8 cm, and CA = 5.6 cm

**Required :** The perimeter of trapezium FBCA.

**More Solutions:**

- AC is its diagonal. Show that
- Show that the quadrilateral formed.
- Prove that CF = 14 AC.
- The straight lines ED and EC.
- Prove that the line segment AD.
- AB || DC, E and F are mid-points of AD and BD.
- Prove that PQRS is a rhombus.
- G is mid-point of CD. Calculate:
- In a ∆ABC, AB = 3 cm, BC = 4 cm and CA = 5 cm.
- If P and Q are mid-points of the sides BC and CD.