#### (a) In the figure (1) given below, AB || CR and LM || QR.

(i) Prove that

(ii) Calculate LM : QR, given that BM : MC = 1 : 2.

(b) In the figure (2) given below AD is bisector of ∠BAC. If AB = 6 cm, AC = 4 cm and BD = 3cm, find BC

**Solution:**

**More Solutions:**

- DE parallel BC. If DE = 6 cm, BC = 9 cm and area of ∆ADE = 28 sq. cm
- Prove that ∆ADE and ∆ABC are similar.
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- In ∆ABC, AP: PB = 2 : 3. PO is parallel to BC and is extended to Q so that CQ is parallel to BA.
- Determine the ratio of the areas of ∆AOB and ∆COD.