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
5.5
5.5
4.5
4.5
3.5
that's weird, there's nothing here.
Apologies for the oversight. Let's use the Triangle Inequality Theorem to find a possible measure for the third side of the triangle.
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 denote the two given sides as "a" and "b," where a = 3.7 and b = 8.2.
Applying the Triangle Inequality Theorem, we have two possible inequalities to check:
1. a + b > third side: 3.7 + 8.2 > third side
11.9 > third side
2. a + third side > b: 3.7 + third side > 8.2
third side > 4.5
From these inequalities, we can conclude that the third side must be greater than 4.5 but less than 11.9. Therefore, a possible measure for the third side could be 5.5.