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 rotation property

Rotation is a rigid - motion transformation. Rigid - motion transformations preserve side - lengths and angle - measures.

Step2: Identify corresponding sides

Since triangle TRS is rotated about point X to result in triangle BAC, corresponding sides are equal. Side AB corresponds to side TR, side AC corresponds to side TS, and side BC corresponds to side RS.

Answer:

20 ft