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Question

In the figure, AQ = 1 cm, PC = 15cm, PQ = 12 cm and AB = 6 cm, find CB.


  1. 6 cm

  2. 7 cm

  3. 8 cm

  4. 9 cm


Solution

The correct option is C

8 cm


In ΔPQC,By Pythagoras TheoremPQ2+QC2=PC2152122=QC2QC=9cmQC+AQ=ACAC=10cm Given(1)In ΔABC,By Pythagoras TheoremAB2+BC2=AC210262=BC2 By(1)BC=8cm

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