triangle trs is rotated about point x, resulting in triangle bac. if ab = 10 ft, ac = 14 ft, and bc = 20 ft…

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

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

Answer

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, (\triangle TRS\cong\triangle BAC) (by the property of rotation).

Step2: Identify corresponding sides

In congruent triangles (\triangle TRS) and (\triangle BAC), (RS) corresponds to (BC). That is, (RS = BC) (corresponding parts of congruent triangles are equal).

Answer:

(20) ft (since (BC = 20) ft and (RS=BC))