Can a triangle be formed given sides with lengths of 3.7 inches, 4.5 inches, and 14.1 inches Enter 1 for Yes. Enter 2 for No
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can a triangle be formed given sides with lengths of 3.06 , 3.45 and 6
enter 1 for yes enter 2 for no
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To determine if a triangle can be formed from the given side lengths (3.7 inches, 4.5 inches, and 14.1 inches), we need to check if the sum of the lengths of any two sides is greater than the length of the remaining side.
Let's apply this condition to the given side lengths:
1) Sum of the two shorter sides: 3.7 inches + 4.5 inches = 8.2 inches
- Is this sum greater than the length of the longest side (14.1 inches)? No.
2) Sum of the shortest side (3.7 inches) and the longest side (14.1 inches): 3.7 inches + 14.1 inches = 17.8 inches
- Is this sum greater than the length of the remaining side (4.5 inches)? Yes.
3) Sum of the two longer sides (4.5 inches and 14.1 inches): 4.5 inches + 14.1 inches = 18.6 inches
- Is this sum greater than the length of the shortest side (3.7 inches)? Yes.
Since there is at least one pair of sides whose sum is greater than the length of the remaining side, a triangle can be formed.
Therefore, the answer is 1 (Yes), a triangle can be formed.