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find the shortest side of δxyz.
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Question

find the shortest side of δxyz.

Explanation:

Step1: Recall triangle side-angle relationship

In a triangle, the shortest side is opposite the smallest angle.

Step2: Identify the smallest angle

Given angles: \( \angle Z = 57^\circ \), \( \angle Y = 60^\circ \), \( \angle X = 63^\circ \). The smallest angle is \( \angle Z = 57^\circ \).

Step3: Determine the side opposite the smallest angle

The side opposite \( \angle Z \) is \( XY \).

Answer:

The shortest side of \( \triangle XYZ \) is \( XY \).