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)
Let x be the measure of the third side of the triangle.
According to the Triangle Inequality Theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Therefore, we can write the inequality:
34 + 51 > x
Simplifying, we get:
85 > x
So, the complete inequality is:
x < 85
According to the Triangle Inequality Theorem, 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 call the third side x.
The inequality to indicate the possible values of the third side is:
34 + x > 51 - Equation 1
51 + x > 34 - Equation 2
From Equation 1, we can solve for x:
x > 51 - 34
x > 17
From Equation 2, we can solve for x:
x > 34 - 51
x > -17
So the complete inequality is:
-17 < x < 17