In a 30-60-90 triangle, the shorter leg has length of

Frank Guyton 2021-12-17 Answered
In a 30-60-90 triangle, the shorter leg has length of \(\displaystyle{8}\sqrt{{{3}}}\) m. What is the length of the other leg and the hypotenuse?

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Expert Answer

usaho4w
Answered 2021-12-18 Author has 2871 answers
Let the shortest length is represented by the variable a. The other lengths are multiples of a.
If \(\displaystyle{a}={8}\sqrt{{{3}}}\)
\(\displaystyle{a}\sqrt{{{3}}}={\left({8}\sqrt{{{3}}}\right)}\sqrt{{{3}}}={24}\)
\(\displaystyle{2}{a}={2}{\left({8}\sqrt{{{3}}}\right)}={16}\sqrt{{{3}}}\)
Therefore, the height - \(\displaystyle{24}\), hypotenuse - \(\displaystyle{16}\sqrt{{{3}}}\)
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kalupunangh
Answered 2021-12-19 Author has 398 answers

\(\displaystyle{H}{e}{i}{g}{h}{t}={24}\)
\(\displaystyle{H}{y}{p}{o}{t}{e}nu{s}{e}={16}\sqrt{{{3}}}\)

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