Question

sides of a triangle practice
complete this assessment to review what youve learned. it will not count toward your grade.
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)
(square < x < square)
check answer remaining attempts: 3

Explanation:

Step1: Recall Triangle Inequality Theorem

The Triangle Inequality Theorem states that the length of any side of a triangle must be greater than the absolute difference of the other two sides and less than the sum of the other two sides. For a triangle with sides \(a\), \(b\), and \(x\), we have \(|a - b| < x < a + b\).

Step2: Calculate the difference and sum

Given \(a = 51\) and \(b = 34\), first find the difference: \(|51 - 34| = 17\). Then find the sum: \(51 + 34 = 85\).

Answer:

\(17 < x < 85\)