Question 1136737
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The tutor @Boreal correctly determined the side lengths from the condition: they are 8 cm, 12 cm and 24 cm.


But he missed to check, if such a triangle may exist.


Actually (and factually), there is NO triangle with such side lengths, since it contradicts to the triangle inequality


                a + b > c


which must be true for any combination of sides of any triangle.


In our case 


    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;8 + 12 = 20 < 24


and the triangle inequality fails.


It is a simple rule, and I repeated it many times in my posts to this forum:


<pre>
    when you solve a problem, where you need to determine the side lengths of a triangle,

    you MUST check at the end of your solution, whether the triangle inequalities are satisfied.


    Without doing it, you can make a HUGE mistake.
</pre>

It is the major lesson to learn from my post.