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Question

Find the radius of the incircle of ABC if BCAQ


  1. 4 cm

  2. 1 cm

  3. 3 cm

  4. 2 cm


Solution

The correct option is D

2 cm


Triangle ABC is a right angled triangle ...( Given)
AB2=BC2+Ac2=62+82
...( Pythagoras Theorem )
AB = 10 ~ cm  ...( Pythagoras triplet 6 - 8 - 10 )

Semi-perimeter ABC,
s=a+b+c2=6+8+102=12cm

Area of ABC,A=12×6×8=24 cm2

Radius of the Incircle,
r=As=2412=2 cm.

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