Question

triangle trs is rotated about point x, resulting in triangle bac. if ab = 10 ft, ac = 14 ft, and bc = 20 ft, what is rs? 10 ft 14 ft 20 ft 24 ft figure may not be drawn to scale

Explanation:

Step1: Recall the property of rotation

Rotation is a rigid transformation. Rigid transformations (rotations, translations, reflections) preserve the lengths of the sides of a figure. So, if triangle \(TRS\) is rotated about point \(X\) to get triangle \(BAC\), then \(\triangle TRS\cong\triangle BAC\).

Step2: Identify the corresponding sides

In congruent triangles, corresponding sides are equal. Since \(\triangle TRS\cong\triangle BAC\), the side \(RS\) corresponds to the side \(BC\).

Answer:

\(20\) ft (the third option)