________________units **Geometry: Triangle Rotation and Perimeter Calculation****Problem:**Triangle △ABC is rotated 135° about point S to create △A'B'C'.**Diagram Analysis:**The original triangle △ABC has the following properties:- Vertex A with an angle of 20°.- Side AB with a length of 5.8 units.- Side BC with a length of 5.1 units.After rotation around point S:- Vertex B' has an angle of 101°.- Side A'B' has a length of 5.8 units.- Side B'C' has a length of 2 units.**Question:**What is the perimeter of △ABC?**Solution Approach:**To calculate the perimeter of △ABC, sum the lengths of all its sides:- AB = 5.8 units.- BC = 5.1 units.- CA = unknown.Since the rotation does not affect the lengths of the sides of the triangle, CA in △ABC is equal to C'A' in △A'B'C', which we find through geometric interpretation or additional given information in a broader context.The final solution involves adding all sides:\[ \text{Perimeter of } △ABC = AB + BC + CA \]**Detailed Step-by-Step Solution:**1. Identify the given sides of △ABC and fill in the missing length if necessary.2. Sum the lengths of all sides.Note: The solution would typically include all necessary length measurements and any required supplementary geometric principles to find missing side lengths.---This content provides an example of a geometric transformation (rotation) problem and outlines the steps required to solve for the perimeter of a given triangle.

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Answered: Triangle AABC is rotated 135° about…

Triangle AABC is rotated 135° about point S to create AA'B'C'. B' 101 5.8 S 5.8 A' 20 5.1 What is the perimeter of AABC? 2.

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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