A triangle has sides with lengths of 8, 4, and 3. What is the radius of the triangles inscribed circle?

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Answer 1 · 2016-03-25T04:15:54

The triangle does not exist

For any plane triangle with sides a, b, c
The following conditions must be satisfied

$a + b > c$ $a+b>c" "$ first condition
$a + c > b$ $a+c>b" "$ second condition
$b + c > a$ $b+c>a" "$ third condition

If we let $a = 8$ $a=8$ and $b = 4$ $b=4$ and $c = 3$ $c=3$

The third condition is FALSE !

Therefore , the triangle does not exist ...

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