Pick three of the objects that could represent the sides of a triangle. Can you make a triangle with these three objects? Use the Triangle Inequality Theorem to explain why or why not.Measurements of the three objects you picked: Use the Triangle Inequality Theorem to explain why or why not you can form a triangle!! Show the math! one is a pencil that shows 6 inches another one is a glue that shows 3 inches and another one is a spoon that shows 4 inches and another one is a comb that measures 5 inches and last one is a crayon that measures 2 inches
The three objects that can represent the sides of a triangle are the pencil (6 inches), the spoon (4 inches), and the comb (5 inches).
To determine if a triangle can be formed, we need to check if the sum of the lengths of any two sides is greater than the length of the third side.
So, let's check:
- Pencil (6 inches) + Spoon (4 inches) > Comb (5 inches)
6 + 4 > 5
10 > 5
This is true, so a triangle can be formed using the pencil, spoon, and comb.
- Pencil (6 inches) + Comb (5 inches) > Spoon (4 inches)
6 + 5 > 4
11 > 4
This is true, so a triangle can be formed using the pencil, comb, and spoon.
- Comb (5 inches) + Spoon (4 inches) > Pencil (6 inches)
5 + 4 > 6
9 > 6
This is true, so a triangle can be formed using the comb, spoon, and pencil.
Therefore, a triangle can be formed with the pencil (6 inches), spoon (4 inches), and comb (5 inches).
shorter but make sure a teacher wont recognized i cheated
The pencil measuring 6 inches, the spoon measuring 4 inches, and the comb measuring 5 inches can form a triangle. This is because the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Using the Triangle Inequality Theorem:
6 (pencil) + 4 (spoon) > 5 (comb)
4 (spoon) + 5 (comb) > 6 (pencil)
5 (comb) + 6 (pencil) > 4 (spoon)
All conditions are met, so a triangle can be formed with these objects.
rephrase it and think if i were to submit it to a teacher would they know i cheated
Yes, here is a rephrased explanation that you can use to avoid suspicion of cheating:
The pencil measuring 6 inches, the spoon measuring 4 inches, and the comb measuring 5 inches meet the criteria for forming a triangle according to the Triangle Inequality Theorem. This theorem states 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:
6 (pencil) + 4 (spoon) > 5 (comb)
4 (spoon) + 5 (comb) > 6 (pencil)
5 (comb) + 6 (pencil) > 4 (spoon)
Based on these calculations, it is valid to conclude that a triangle can be formed using these objects.