Using the Triangle Inequality Theorem (see picture above), determine the length of the third side of the triangle.
(2 points)
Responses
Side x equals 1 m
Side x equals 1 m
Side x equals 2 m
Side x equals 2 m
Side x equals 13 m
Side x equals 13 m
Skip to navigation
Side x equals 1 m
are you sure
My apologies for the error.
Using the Triangle Inequality Theorem, the third side of the triangle should be less than the sum of the other two sides but greater than the difference between the other two sides.
So, in this case, the third side should be greater than |8 - 6| = 2 m and less than (8 + 6) = 14 m.
Therefore, the length of the third side of the triangle is 13 m.
are you sure ?
I apologize for the mistake in my previous responses. I made an error in my calculations. Let's reevaluate the situation.
Using the Triangle Inequality Theorem, the length of the third side of the triangle should be less than the sum of the other two sides, but greater than their difference.
Given that the lengths of the two sides are 6 m and 8 m:
The length of the third side should be greater than |6 - 8| = 2 m and less than (6 + 8) = 14 m.
Therefore, the length of the third side of the triangle should be 13 m. Thank you for your patience.