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Find the perimeter of A ABC if AB, BC, and CA are tangents to the circle. B 17 in D E 23 in 15 in 41

Find the perimeter of A ABC if AB, BC, and CA are tangents to the circle. B 17 in D E 23 in 15 in 41

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
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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**Find the perimeter of triangle \( \triangle ABC \) if \( \overline{AB} \), \( \overline{BC} \), and \( \overline{CA} \) are tangents to the circle.** - Diagram: The image shows a triangle \( \triangle ABC \) with a circle inscribed inside it. The sides of the triangle are labeled with their respective lengths: \( \overline{AB} = 17 \) inches, \( \overline{BC} = 15 \) inches, and \( \overline{CA} = 23 \) inches. Points \( D \), \( E \), and \( F \) indicate where the circle is tangent to the sides \( \overline{AB} \), \( \overline{BC} \), and \( \overline{CA} \), respectively. - Calculation task: The text instructs students to find the perimeter of triangle \( \triangle ABC \). - Input field: There is a box provided to input the calculated perimeter value in inches. - Navigation buttons: "Back" and "Next" buttons are present for navigating through the content. **The perimeter of triangle \( \triangle ABC \) is \_\_\_\_\_ inches.**
Transcribed Image Text:**Find the perimeter of triangle \( \triangle ABC \) if \( \overline{AB} \), \( \overline{BC} \), and \( \overline{CA} \) are tangents to the circle.** - Diagram: The image shows a triangle \( \triangle ABC \) with a circle inscribed inside it. The sides of the triangle are labeled with their respective lengths: \( \overline{AB} = 17 \) inches, \( \overline{BC} = 15 \) inches, and \( \overline{CA} = 23 \) inches. Points \( D \), \( E \), and \( F \) indicate where the circle is tangent to the sides \( \overline{AB} \), \( \overline{BC} \), and \( \overline{CA} \), respectively. - Calculation task: The text instructs students to find the perimeter of triangle \( \triangle ABC \). - Input field: There is a box provided to input the calculated perimeter value in inches. - Navigation buttons: "Back" and "Next" buttons are present for navigating through the content. **The perimeter of triangle \( \triangle ABC \) is \_\_\_\_\_ inches.**
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