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? figure may not be drawn to scale.

Explanation:

Step1: Understand rotation property

Rotation is a rigid transformation. Rigid transformations (like rotation) preserve the lengths of the sides of a figure. So, \(\triangle TRS\cong\triangle BAC\).

Step2: Identify corresponding sides

In congruent triangles \(\triangle TRS\) and \(\triangle BAC\), side \(RS\) corresponds to side \(BC\).
Since \(BC = 20\) ft and \(RS=BC\) (because of congruence from rotation).

Answer:

\(20\) ft