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K 59 m 32⁰ 50 m Submit meters 58⁰ J AKIJATUV. What is UV? 31 m I U T

K 59 m 32⁰ 50 m Submit meters 58⁰ J AKIJATUV. What is UV? 31 m I U T

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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### Geometry Problem: Solving for Side Length in Similar Triangles #### Problem Statement: Given two triangles \( \triangle KIJ \) and \( \triangle TUV \) are similar. Determine the length of side \( UV \). #### Diagrams: 1. **Triangle \( \triangle KIJ \):** - Right triangle with: - \( KI = 50 \) meters - \( IJ = 31 \) meters - \( JK = 59 \) meters - Angles: - \( \angle KIJ = 32^\circ \) - \( \angle IJK = 58^\circ \) - \( \angle I = 90^\circ \) 2. **Triangle \( \triangle TUV \):** - The triangle is similar to \( \triangle KIJ \). - Sides \( TU \), \( UV \), and \( VT \) are unknown. #### Question: Find the length of \( UV \). #### Solution Input: An input box is provided to enter the length of \( UV \) in meters. #### Additional Information: - The problem is displayed on a digital platform, using an educational interface. - The submit button is available to check the answers. - Property of Garden Grove USD, barcode tag, and laptop details are visible but unrelated to the geometric problem. This problem requires understanding of triangle similarity and proportional relationships to solve for unknown side lengths.
Transcribed Image Text:### Geometry Problem: Solving for Side Length in Similar Triangles #### Problem Statement: Given two triangles \( \triangle KIJ \) and \( \triangle TUV \) are similar. Determine the length of side \( UV \). #### Diagrams: 1. **Triangle \( \triangle KIJ \):** - Right triangle with: - \( KI = 50 \) meters - \( IJ = 31 \) meters - \( JK = 59 \) meters - Angles: - \( \angle KIJ = 32^\circ \) - \( \angle IJK = 58^\circ \) - \( \angle I = 90^\circ \) 2. **Triangle \( \triangle TUV \):** - The triangle is similar to \( \triangle KIJ \). - Sides \( TU \), \( UV \), and \( VT \) are unknown. #### Question: Find the length of \( UV \). #### Solution Input: An input box is provided to enter the length of \( UV \) in meters. #### Additional Information: - The problem is displayed on a digital platform, using an educational interface. - The submit button is available to check the answers. - Property of Garden Grove USD, barcode tag, and laptop details are visible but unrelated to the geometric problem. This problem requires understanding of triangle similarity and proportional relationships to solve for unknown side lengths.
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