Question

name the angle with the greatest measure in $\triangle ghi$.
angle h
cant be determined.
angle i
angle g

Explanation:

Step1: Recall the triangle side - angle relationship

In a triangle, the larger side is opposite the larger angle.

Step2: Compare the side lengths

In \(\triangle GHI\), the side lengths are \(HI = 5\), \(GI=7\), and \(HG = 9\). Since \(9>7>5\), the side \(HG\) is the longest side.

Step3: Identify the angle opposite the longest side

The angle opposite side \(HG\) is \(\angle I\).

Answer:

Angle \(I\)