A triangle has sides with lengths of 7, 7, and 7. What is the radius of the triangles inscribed circle?

1 Answer

Radius of the inscribed circle #=2.02073#

Explanation:

Use the formula for the inscribed circle given the sides a, b, c

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

where #s=(a+b+c)/2" "#is half of the perimeter

compute #s=10.5#
and #a=7# , #b=7#, #c=7#

#r=sqrt(((s-a)(s-b)(s-c))/s)#
#r=2.02073#

God bless....I hope the explanation is useful.