A triangle has sides with lengths of 5, 8, and 8. What is the radius of the triangles inscribed circle?

1 Answer
Binayaka C.
Jul 3, 2016

The radius of inscribed circle is 1.81 (2dp)1.81(2dp) unit

Explanation:

The semi perimter of the triangle is s=(5+8+8)/2=10.5 ; s-a= 10.5-5=5.5 ; s-b=10.5-8=2.5; s-c=10.5-8=2.5s=5+8+82=10.5;s−a=10.5−5=5.5;s−b=10.5−8=2.5;s−c=10.5−8=2.5Area of the triangle is A=sqrt(s(s-a)(s-b)(s-c)) = sqrt(10.5*5.5*2.5*2.5) =19.0A=√s(s−a)(s−b)(s−c)=√10.5⋅5.5⋅2.5⋅2.5=19.0 The radius of inscribed circle is A/s = 19.0/10.5 =1.81 (2dp)As=19.010.5=1.81(2dp)unit[Ans]

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