Question

what is the relationship between the lengths of \overline{yw} and \overline{yx}? yw < yx cannot be determined. yw > yx yw = yx

Explanation:

Step1: Analyze the triangle \( \triangle YWX \)

In \( \triangle YWX \), \( \angle YWX = 90^{\circ} \).

Step2: Apply the property of right - angled triangles

In a right - angled triangle, the hypotenuse is the longest side. Here, \( YX \) is the hypotenuse of \( \triangle YWX \) (since \( \angle YWX = 90^{\circ} \)), and \( YW \) is one of the legs.
So, \( YW

Answer:

\( YW < YX \) (the first option)