A triangle has sides with lengths of 8, 4, and 6. What is the radius of the triangles inscribed circle?

1 Answer
Bill Jorgensen
Jun 6, 2018

#r=(sqrt15)/3 ~~1.29#

Explanation:

Here is the formula for a triangle inscribed circle:

#s = (a+b+c)/2#

#r = sqrt(((s-a)(s-b)(s-c))/s)#

Plug in our values:

#s = (8+4+6)/2#

#s=9#

#r = sqrt(((9-8)(9-4)(9-6))/9)#

#r=sqrt(5/3)#

#r=(sqrt15)/3 ~~1.29#

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