Frank Guyton

2021-12-17

In a 30-60-90 triangle, the shorter leg has length of $8\sqrt{3}$ m. What is the length of the other leg and the hypotenuse?

usaho4w

Expert

Let the shortest length is represented by the variable a. The other lengths are multiples of a.
If $a=8\sqrt{3}$
$a\sqrt{3}=\left(8\sqrt{3}\right)\sqrt{3}=24$
$2a=2\left(8\sqrt{3}\right)=16\sqrt{3}$
Therefore, the height - $24$, hypotenuse - $16\sqrt{3}$

kalupunangh

Expert

$Height=24$
$Hypotenuse=16\sqrt{3}$

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