Question

find the largest angle of △ijk. assume that a is a positive number.

Explanation:

Step1: Identify the longest - side rule

In a triangle, the largest angle is opposite the longest side.

Step2: Compare the side - lengths

Given side - lengths \(49a\), \(58a\), and \(60a\). Since \(a>0\), \(60a>58a > 49a\).

Step3: Determine the largest angle

The side \(IJ = 60a\). The angle opposite side \(IJ\) is \(\angle K\).

Answer:

\(\angle K\)