Can a triangle $A B C$ exist if $a=11.5, b=6.8$, and $c=18.3$ ? Explain why or why not. Answer this question without using trigonometry.

Name: Can a triangle $A B C$ exist if $a=11.5, b=6.8$, and $c=18.3$ ? Explain why or why not. Answer this question without using trigonometry.
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Question

Quizplus · Accepted Answer

The Answer is No, the sum of the lengths of the two smaller sides must be greater than the length of the third side. Here,

11.5+6.8=18.3

, which is not greater than 18.3.

Can a Triangle ABCA B CABC Exist If a=11.5,b=6.8a=11.5, b=6.8a=11.5,b=6.8 , And c=18.3c=18.3c=18.3

Can a Triangle $A B C$ Exist If $a=11.5, b=6.8$ , And $c=18.3$