**(a) In fig. (i) given below, AD ⊥ BC, AB = 25 cm, AC = 17 cm and AD = 15 cm. Find the length of BC.**

**(b) In figure (ii) given below, ∠BAC = 90°, ∠ADC = 90°, AD = 6 cm, CD = 8 cm and BC = 26 cm. Find :**

**(i) AC (ii) AB (iii) area of the shaded region.**

**(c) In figure (iii) given below, triangle ABC is right angled at B. Given that AB = 9 cm, AC = 15 cm and D, E are mid-points of the sides AB and AC respectively, calculate**

**(i) the length of BC (ii) the area of ∆ ADE.**

**Solution:**

**More Solutions:**

- Prove that BD = BC.
- Find these angles.
- Prove that it is a trapezium.
- Find the angles of the parallelogram.
- Calculate angles CDB and ADB.
- ABCD is a parallelogram with perimeter 40.
- If ∠ABD = 50°, find ∠DPC.
- Find angle BED represented by x.
- ABCD is a trapezium. Find the values of x and y.
- Prove that each angle of a rectangle is 90°.