Answer :
According to the Triangle inequality theorem, this does not work
For a triangle to be valid, the length of any two sides added together must by greater than the length than the third side.
In this example, we can see that the side with length 1 added to the side with length 2 is equal to 3inches.
3 inches is less that 4inches (the length of the 3rd side). So that triangle does not work.
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Answer
This triangle does not work, because the sum of the lengths of any two sides of a triangle is NOT greater than the length of the third side.
If the length of the sides is 4 inches, 2 inches, and 1 inch then it is not possible to make a triangle with these sides.
What is the Triangle Inequality theorem?
According to the Triangle Inequality Theorem, the sum of the length of the two sides of the triangle must be greater than or equal to the third side.
Given to us
The length of the sides is 4 inches, 2 inches, and 1 inch.
In order to this be a triangle it must follow the triangle inequality theorem, therefore, the sum of the length of the two sides of the triangle must be greater than or equal to the third side.
If we add the sides of length 1 inch and 2 inches we will find that the sum is not equal to or greater than 4 therefore, It is not possible to make a triangle with the sides of length 4 inches, 2 inches, and 1 inch.
Hence, if the length of the sides is 4 inches, 2 inches, and 1 inch then it is not possible to make a triangle with these sides.
Learn more about Triangle Inequality Theorem:
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