Apply the Triangle Inequality Theorem to determine whether sides with lengths of 4 inches, 8 inches, and 9 inches form a triangle.(1 point)
Responses
No, because two out of three conditions are met. No, because two out of three conditions are met.
Yes, all of the conditions are met. Yes, all of the conditions are met.
Yes, the majority of the conditions are met. Yes, the majority of the conditions are met. No, all of the conditions are not met.
Yo so i got 3/5 so ima sacrificed and heres the answers so that u guys will get this right
D
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No, because all of the conditions are not met. The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. However, in this case, 4 + 8 is not greater than 9, so the lengths do not form a triangle.
Apply the Triangle Inequality Theorem to determine whether sides with lengths of 4.24 inches, 9.89 inches, and 8.75 inches form a triangle.(1 point)
Responses
Yes, because the sum of any two sides is less than the third side.
Yes, because the sum of any two sides is less than the third side.
No, because the sum of any two sides is less than the third side.
No, because the sum of any two sides is less than the third side.
Yes, because the sum of any two sides is greater than the third side.
Yes, because the sum of any two sides is greater than the third side.
No, because the sum of any two sides is greater than the third side.
No, because the sum of any two sides is greater than the third side.
Apply the Triangle Inequality Theorem to determine whether a triangle can be formed from sides of lengths 7 millimeters, 8 millimeters, and 9 millimeters.(1 point)
Responses
Yes, because the sum of any two sides is greater than the third side.
Yes, because the sum of any two sides is greater than the third side.
No, because the sum of any two sides is greater than the third side.
No, because the sum of any two sides is greater than the third side.
Yes, because the sum of any two sides is less than the third side.
Yes, because the sum of any two sides is less than the third side.
No, because the sum of any two sides is less than the third side.
Yes, because the sum of any two sides is greater than the third side.
Triangle Inequality Theorem Quick Check
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Question
Apply the Triangle Inequality Theorem to determine whether sides with lengths of 5 inches, 10 inches, and 15 inches form a triangle.(1 point)
Responses
Yes, the majority of the conditions are met.
Yes, the majority of the conditions are met.
No, because the sum of 5+10 is not greater than 15.
No, because the sum of 5 plus 10 is not greater than 15.
Yes, because the sum of 5+10 is less than or equal to 15.
Yes, because the sum of 5 plus 10 is less than or equal to 15.
Yes, because the sum of 5+10 is not greater than 15.
No, because the sum of 5 + 10 is not greater than 15.
Apply the Triangle Inequality Theorem to determine whether sides with lengths of 3 inches, 4 inches, and 9 inches form a triangle.(1 point)
Responses
Yes, because 3+4 is less than 9.
Yes, the majority of the conditions are met.
Yes, the majority of the conditions are met.
Yes, because the sum of any two sides is less than the third side.
Yes, because the sum of any two sides is less than the third side.
No, because 3+4 is less than 9.