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

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Answer 1 · 2016-04-07T09:32:01

Radius of the inscribed circle $=2.02073$

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.