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
The Triangle Inequality 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.
Therefore, to find a possible measure of the third side, we can add the given measures of the two sides and subtract the third side from this sum:
3.7 + 8.2 - x > 0
12.9 - x > 0
x < 12.9
Therefore, a possible measure of the third side is any value less than 12.9.
None of the given options (4.2, 4.5, 5.5, 3.5) satisfies this condition.
only one
Apologies for the confusion. Given that the two sides measure 3.7 and 8.2, we can apply the Triangle Inequality Theorem to find a possible measure of the third side.
The Triangle Inequality 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.
Therefore, the possible measure of the third side should satisfy the following inequality:
3.7 + 8.2 > x
11.9 > x
Therefore, a possible measure for the third side could be any value less than 11.9.
The correct answer option is 4.5, as it is less than 11.9.