Problem

11. Determine if it is possible to form a triangle with the given side lengths:
41in,12in,20in
O Possible
Not possible

Answer

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Answer

So, the final answer is Not possible.

Steps

Step 1 :The sum of any two sides of a triangle must be bigger than the third side.

Step 2 :If the sides were 41 in, 12 in, and 20 in, we need to check if the sum of any two sides is greater than the third side.

Step 3 :For sides 41 in and 12 in, their sum is 41+12=53 in, which is greater than the third side 20 in.

Step 4 :For sides 41 in and 20 in, their sum is 41+20=61 in, which is greater than the third side 12 in.

Step 5 :For sides 12 in and 20 in, their sum is 12+20=32 in, which is less than the third side 41 in.

Step 6 :Since the sum of the lengths of the two shorter sides 12 in and 20 in is not greater than the length of the longest side 41 in, it is not possible to form a triangle with these side lengths.

Step 7 :So, the final answer is Not possible.

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