Question

(a) find hi.
hi = \square

Explanation:

Step1: Identify Triangle Type

The triangle \( \triangle HIG \) has two equal angles at \( I \) and \( G \), and a right angle at \( H \)? Wait, no, looking at the angles: angles at \( I \) and \( G \) are marked equal, and angle at \( H \) is a right angle? Wait, actually, in a triangle, if two angles are equal, it's an isosceles triangle. Wait, the angles at \( I \) and \( G \) are equal, so the sides opposite them should be equal. Wait, side \( HG \) is length 3, and side \( HI \) is opposite angle \( G \), and side \( HG \) is opposite angle \( I \). Since angles at \( I \) and \( G \) are equal, the sides opposite them ( \( HG \) and \( HI \)) should be equal. So \( HI = HG \).

Step2: Determine Length of \( HI \)

Given \( HG = 3 \), so \( HI = 3 \).

Answer:

\( 3 \)