A triangle has sides with lengths of 2, 9, and 8. What is the radius of the triangles inscribed circle?

1 Answer
Binayaka C.
Jun 12, 2016

Radius of the inscribed circle #r=0.77(2dp)# unit.

Explanation:

sides of the triangle are #a=2 ; b=9; c=8#. Semi perimeter of the triangle #s=(2+9+8)/2=9.5 ; s-a= 7.5; s-b= 0.5 ; s-c= 1.5 :. A_t=sqrt(9.5*7.5*0.5*1.5)=7.31 sq.unit#. Where #A_t# is the area of triangle#=sqrt (s*(s-a)(s-b)(s-c))#. Radius of the inscribed circle #r=A_t/s= 7.31/9.5=0.77(2dp)#unit [Ans]

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