Triangle Inequality Theorem Quick Check 5 of 55 of 5 Items Question Two sides of a triangle measure 3.7 and 8.2. Apply the Triangle Inequality Theorem to find a possible measure of the third side.(1 point) Responses 4.2 4.2 4.5 4.5 5.5 5.5 3.5
Triangle Inequality Theorem Quick Check Answers
1: 15
2: 5cm
3: 9
4: 2, 7, 6
5: 5.5
its 5.5
To apply the Triangle Inequality Theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.
Therefore, the possible measure of the third side should be between the sum and the difference of the given side lengths.
The sum of the given side lengths is 3.7 + 8.2 = 11.9, and the difference is 8.2 - 3.7 = 4.5.
So, a possible measure of the third side should be between 4.5 and 11.9.
Therefore, the correct responses are 4.5 and 5.5.