**(a) In figure (i) given below, AB || DC, BC = AD = 13 cm. AB = 22 cm and DC = 12cm. Calculate the height of the trapezium ABCD.**

**(b) In figure (ii) given below, AB || DC, ∠ A = 90°, DC = 7 cm, AB = 17 cm and AC = 25 cm. Calculate BC.**

**(c) In figure (iii) given below, ABCD is a square of side 7 cm. if**

**AE = FC = CG = HA = 3 cm,**

**(i) prove that EFGH is a rectangle.**

**(ii) find the area and perimeter of EFGH.**

**Solution:**

**More Solutions:**

- If AD is extended to intersect BC at P, show that
- Show that AR > AQ.
- If O is any point in the interior of a triangle ABC.
- Construct a triangle ABC given that base BC = 5.5 cm.
- Which BC = 6.5 cm, ∠ B = 75° and ∠ A = 45°.
- Construct triangle ABC given that AB – AC = 2.4 cm.
- Prove that DBEF is a parallelogram.
- Prove that the four triangles.
- Prove that ∆DEF is also F, isosceles.
- If P is the mid-point of AD, prove that