Question

from this given statement, select the definition, property, postulate, or theorem that justifies the prove statement. given: \\( \triangle uio \\) prove: \\( uo < ui + io \\)

Explanation:

Step1: Recall triangle - related concepts

In a triangle, there is a fundamental relationship regarding the lengths of its sides.

Step2: Apply the triangle side - length theorem

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 remaining side. For \(\triangle UI O\), if we consider the sides \(UI\), \(IO\), and \(UO\), by the triangle inequality theorem, \(UO

Answer:

Triangle Inequality Theorem