Two sides of a triangle measure 34 and 51. Complete the inequality that indicates the possible values of the third side of the triangle using the Triangle Inequality Theorem.(1 point)
The Triangle Inequality Theorem states that for a triangle with sides of lengths a, b, and c, the sum of any two side lengths must be greater than the third side length.
Let's call the third side length x.
Using this theorem, we can create the following inequality:
34 + 51 > x
Combining like terms:
85 > x
Therefore, the completed inequality is:
x < 85
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.
Let's denote the two given sides as "a" and "b". The third side can be denoted as "c".
Therefore, according to the Triangle Inequality Theorem, we have the inequality:
a + b > c
Substituting the given side lengths, we have:
34 + 51 > c
85 > c
So, the completed inequality indicating the possible values of the third side of the triangle is:
c < 85