Question

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

Answer 1

The radius of inscribed circle is `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=2.5`Area of the triangle is `A=sqrt(s(s-a)(s-b)(s-c)) = sqrt(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)`unit[Ans]