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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To find the possible values of the third side of a triangle, we can apply the Triangle Inequality Theorem. According to this 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 = 34 and b = 51. We can now write the inequality as:
x < a + b
Plugging in the values, we have:
x < 34 + 51
Simplifying, we get:
x < 85
Therefore, the inequality that indicates the possible values of the third side of the triangle is:
x < 85.