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Question
in the 30-60-90 triangle below, side \\(s\\) has a length of \\(\underline{\quad\quad}\\) and side \\(r\\) has a length of \\(\underline{\quad\quad}\\).
a. \\(6\\), \\(12\sqrt{3}\\)
b. \\(6\sqrt{2}\\), \\(6\sqrt{2}\\)
c. \\(12\sqrt{3}\\), \\(24\\)
d. \\(24\sqrt{3}\\), \\(6\\)
e. \\(6\\), \\(6\sqrt{3}\\)
f. \\(12\sqrt{3}\\), \\(12\sqrt{3}\\)
Identify given values
Using the 30-60-90 Triangle Properties knowledge point
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Calculate short leg s
Using the 30-60-90 Triangle Properties knowledge point
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Calculate long leg r
Using the 30-60-90 Triangle Properties knowledge point
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- A. \(6\), \(12\sqrt{3}\)
- B. \(6\sqrt{2}\), \(6\sqrt{2}\)
- C. \(12\sqrt{3}\), \(24\)
- D. \(24\sqrt{3}\), \(6\)
- E. \(6\), \(6\sqrt{3}\) (Correct answer)
- F. \(12\sqrt{3}\), \(12\sqrt{3}\)