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 figure may not be drawn to scale.

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.

Answer

Explanation:

Step1: Recall rotation property

A rotation is a rigid - motion transformation. Rigid - motion transformations preserve side - lengths and angle - measures. So, if triangle TRS is rotated about point X to form triangle BAC, then the corresponding sides of the two triangles are congruent.

Step2: Identify corresponding sides

In congruent triangles, side RS corresponds to side BC.

Step3: Determine the length of RS

Since BC = 20 ft and RS = BC (because of congruence of corresponding sides in a rotation), then RS = 20 ft.

Answer:

20 ft