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Given: AABC, BC = 6 cm, CD 1 AB, MZACB=90°, mZACD=60° Find: AD C 600 А D В :- AD = cm

Given: AABC, BC = 6 cm, CD 1 AB, MZACB=90°, mZACD=60° Find: AD C 600 А D В :- AD = cm

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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Solve. **Given:** \(\triangle ABC,\) \(BC = 6 \, \text{cm},\) \(CD \perp AB,\) \(m \angle ACB = 90^\circ,\) \(m \angle ACD = 60^\circ\) **Find:** \(AD\) **Diagram Explanation:** The diagram shows triangle \(\triangle ABC\) where angle \(\angle ACB\) is 90 degrees, indicating that it is a right triangle. - Point \(C\) is the right-angle vertex. - Line \(CD\) is perpendicular to line \(AB\), forming two right angles at points \(C\) and \(D\). - Angle \(\angle ACD\) measures 60 degrees. - The length of \(BC\) is 6 cm. We need to find the length of segment \(AD\). **Solution Box:** AD = \(\_\_\_\) cm
Transcribed Image Text:Solve. **Given:** \(\triangle ABC,\) \(BC = 6 \, \text{cm},\) \(CD \perp AB,\) \(m \angle ACB = 90^\circ,\) \(m \angle ACD = 60^\circ\) **Find:** \(AD\) **Diagram Explanation:** The diagram shows triangle \(\triangle ABC\) where angle \(\angle ACB\) is 90 degrees, indicating that it is a right triangle. - Point \(C\) is the right-angle vertex. - Line \(CD\) is perpendicular to line \(AB\), forming two right angles at points \(C\) and \(D\). - Angle \(\angle ACD\) measures 60 degrees. - The length of \(BC\) is 6 cm. We need to find the length of segment \(AD\). **Solution Box:** AD = \(\_\_\_\) cm
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