Question
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)
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34 < x + 51
To determine the possible values of the third side of a triangle, we can use the Triangle Inequality Theorem. This 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.
In this case, the two given sides measure 34 and 51. Let's denote the length of the third side as x.
According to the Triangle Inequality Theorem, the inequality to indicate the possible values of x is:
34 + 51 > x
Now, we can simplify the inequality:
85 > x
Therefore, the complete inequality that indicates the possible values of the third side of the triangle is:
x < 85