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Question
1 multiple choice 1 point decide whether each set of numbers is a triangle. 15,12,9 yes no 2 multiple choice 1 point decide whether each set of numbers is a triangle. 28,41,13 yes no
Step1: Recall triangle - inequality theorem
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Step2: Check for 15, 12, 9
$9 + 12=21>15$, $9 + 15 = 24>12$, $12+15 = 27>9$. So, it can form a triangle.
Step3: Check for 28, 41, 13
$13 + 28=41$, which is not greater than 41. So, it cannot form a triangle.
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- A. Yes
- B. No