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Q.

ABC is a right-angled triangle right angled at B such that BC=6 cm and AB=8 cm


A circle with center O is inscribed in ΔABC. Find the radius of the circle.


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a

1 cm

b

2 cm

c

3 cm

d

4 cm 

answer is B.

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Detailed Solution

Given,
A circle with center = O
A right-angled triangle = ABC
BC=6 and
AB=8
By using Pythagoras Theorem, we have
AC2=AB2+BC2
AC=62+82
AC=10
Now, we have found the radius by using of following formula
Radius =2× Area  Perimeter 
Radius =2×12×6×810+8+6
Radius = 2 cm
Correct option is 2.
 
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