Question #e3b99

1 Answer
P dilip_k
Jan 27, 2018

Here sides of the triangles are

#a=3.3cm,b=5.6cm,c=6.5cm#

The semi-perimeter of the triangle is

#s=(a+b+c)/2=(3.3+5.6+6.5)/2=15.4/2=7.7cm#

The area of the triangle is

#Delta=sqrt(s(s-a)(s-b)(s-c))#

#=>Delta=sqrt(7.7(7.7-3.3)(7.7-5.6)(7.7-6.5))cm^2#

#=>Delta=sqrt(7.7xx4.4xx2.1xx1.2cm^2)#

#=>Delta=sqrt(1.1xx7xx1.1xx4xx0.3xx7xx0.3xx4)cm^2#

#=>Delta=1.1xx7xx4xx0.3=9.24cm^2#

So circumradius of the triangle will be

#R=(axxbxxc)/(4Delta)=(3.3xx5.6xx6.5)/(4xx9.24)=3.25cm#

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