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ABC is Right triangle, right angled at B...

ABC is Right triangle, right angled at B such that BC = 6 and AB = 8 cm. Find the radius of its incircle.

Text Solution

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If we draw two perpendicular `IF` and `IE` from center of circle `I` to sides `AB` and `BC` respectively, then, `IF = IE = r`, where `r` is radius of incircle in cm.
Please refer to video for the diagram.
As, `Delta ABC` is aright angle triangle,
`:. AC^2= AB^2+BC^2`
`=>AC^2 = 8^2+6^2 = 100`
`=> AC = 10cm`
As `AP` and `AF` are the tangents from a common point `A` to the circle,
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