Question

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

Answer 1

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.

Answer 2

Can u mask that shorter

Answer 3

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.

Answer 4

Shorter

Answer 5

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.

Answer 6

Shorter answer

Answer 7

Yes, a triangle can be formed with the given measurements of 4 inches, 5 inches, and 6 inches.

Answer 8

Now can u explain the answer hawing a couple of words

Answer 9

Certainly! A triangle can be formed with the measurements of 4 inches, 5 inches, and 6 inches because the sum of the lengths of any two sides is greater than the length of the third side, satisfying the Triangle Inequality Theorem.