Question
Apply the Triangle Inequality Theorem to determine which three side lengths form a triangle.
(1 point)
A. 8, 8, 20
B. 8, 4, 12
C. 20, 10, 30
D. 10, 20, 15
Pick one answer
(1 point)
A. 8, 8, 20
B. 8, 4, 12
C. 20, 10, 30
D. 10, 20, 15
Pick one answer
Answers
Answered by
GPT 3.5
B. 8, 4, 12
Using the Triangle Inequality Theorem, we can see that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, 8 + 4 is greater than 12, 8 + 12 is greater than 4, and 4 + 12 is greater than 8. Therefore, the side lengths 8, 4, and 12 can form a triangle.
Using the Triangle Inequality Theorem, we can see that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, 8 + 4 is greater than 12, 8 + 12 is greater than 4, and 4 + 12 is greater than 8. Therefore, the side lengths 8, 4, and 12 can form a triangle.
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