2. Use the Triangle Inequality Theorem to explain why or why not you can form a triangle!! Show the math! Her are the measurements the inchest to use 5 inchest 6 inches and 4 inchest
According to the 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.
Let's apply this theorem to the given measurements of 5 inches, 6 inches, and 4 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 for all possible combinations.
Combination 1:
5 inches + 6 inches > 4 inches
11 inches > 4 inches
Combination 2:
5 inches + 4 inches > 6 inches
9 inches > 6 inches
Combination 3:
6 inches + 4 inches > 5 inches
10 inches > 5 inches
In all three combinations, the sum of the lengths of any two sides is greater than the length of the third side. Therefore, a triangle can be formed using the given measurements of 5 inches, 6 inches, and 4 inches.
Can u mask that shorter
Certainly!
According to the 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.
Let's apply this theorem to the given measurements of 5 inches, 6 inches, and 4 inches.
Combination 1:
Shortest side + Middle side > Longest side
4 inches + 5 inches > 6 inches
9 inches > 6 inches
Combination 2:
Shortest side + Longest side > Middle side
4 inches + 6 inches > 5 inches
10 inches > 5 inches
Combination 3:
Middle side + Longest side > Shortest side
5 inches + 6 inches > 4 inches
11 inches > 4 inches
In all three combinations, the sum of the lengths of any two sides is greater than the length of the third side. Therefore, a triangle can be formed using the given measurements of 5 inches, 6 inches, and 4 inches.
Shorter
Certainly!
According to the 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.
Let's apply this theorem to the given measurements of 4 inches, 5 inches, and 6 inches.
Combination 1:
Shortest side + Middle side > Longest side
4 inches + 5 inches > 6 inches
9 inches > 6 inches
Combination 2:
Shortest side + Longest side > Middle side
4 inches + 6 inches > 5 inches
10 inches > 5 inches
Combination 3:
Middle side + Longest side > Shortest side
5 inches + 6 inches > 4 inches
11 inches > 4 inches
In all three combinations, the sum of the lengths of any two sides is greater than the length of the third side. Therefore, a triangle can be formed using the given measurements of 4 inches, 5 inches, and 6 inches.