In a 30-60-90 triangle, the shorter leg has length of $8sqrt3$ m. What is the length of the other leg (L) and the hypotenuse?

Question

12521 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-11-26T03:34:18

height = $24$
hypotenuse = $16sqrt(3)$

![https://commons.wikimedia.org/wiki/Category:30-60-90_triangles]( useruploads.socratic.org )

In the diagram above, the shortest length is represented by the variable $a$ . The other lengths are multiples of $a$ .

If $a=8sqrt(3)$ :

$asqrt(3)$
$=(8sqrt(3))sqrt(3)$
$=24$

$2a$
$=2(8sqrt(3))$
$=16sqrt(3)$

$:.$ , the height is $24$ and the hypotenuse is $16sqrt(3)$ .

In a 30-60-90 triangle, the shorter leg has length of 8sqrt38sqrt3 m. What is the length of the other leg (L) and the hypotenuse?