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In the given triangle, O is the incentre, AE = 4 cm, AC = 9 cm and BC = 10 cm. What is the length of side AB?

19.11.2018.002

  1. 12 cm
  2. 8 cm
  3. 10 cm
  4. 14 cm

Answer (Detailed Solution Below)

Option 2 : 8 cm

Detailed Solution

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∵ AE + EC = AC

⇒ EC = 5 cm

According to angle bisector theorem,

So, AE/EC = AB/BC

⇒ 4/5 = AB/10

∴ AB = 8 cm

Download Solution PDF

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