Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
Answer:
• 7 units, 6 units, 12 units
,• 5 units, 13 units, 11 units
,•
Explanation:
Given three side lengths, a, b, and c. To determine if they will make a triangle, we check if they satisfy the triangle inequality given below:
[tex]\begin{gathered} a+b>c \\ a+c>b \\ b+c>a \end{gathered}[/tex]What this means is that for the side lengths to form a triangle, "the sum of any two sides must be greater than the third side".
We test the values below:
Option 1 (3,4 and 8)
[tex]\begin{gathered} 3+4=7<8 \\ 3+8=11>4 \\ 4+8=12>3 \end{gathered}[/tex]In the first case, 7 is not greater than 8, does, the triangle inequality does not hold, and thus, 3 units, 4 units, 8 units do not make a triangle.
Option 2 (7,6 and 12)
[tex]\begin{gathered} 7+6=13>12 \\ 7+12=19>13 \\ 6+12=18>7 \end{gathered}[/tex]The triangle inequality holds, thus, 7 units, 6 units, and 12 units make a triangle.
Option 3 (5,13 and 11)
[tex]\begin{gathered} 5+13=18>11 \\ 5+11=16>13 \\ 13+11=24>5 \end{gathered}[/tex]The triangle inequality holds, thus, 5 units, 13 units, and 11 units make a triangle.
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.
