In the given figure CB ǁ QR, CA ǁ PR, AQ = 12cm, CB = CQ =15cm. Calculate PC and BR .

By applying basic proportionality theorem (BPT), the length of side PC and BR are 25 cm and 9 cm respectively.
In order to determine the length of side PC and BR, we would apply basic proportionality theorem (BPT) as follows:
PC/CQ = AR/AQ
PC/15 = 20/12
Cross-multiplying, we have:
12PC = 20 × 15
PC = 300/12
PC = 25 cm.
For the length of side BR, we have:
PC/CQ = PB/BR
PC/15 = 15/BR
25/15 = 15/BR
25BR = 225
BR = 225/25
BR = 9 cm.
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