Question

In a 30-60-90 triangle, the hypotenuse is 20 feet long. Find the length of the length of the long leg and the short leg

Answer 1

short - 10

long - \[10\sqrt{3}\]

Answer 2

short leg is half of the hypotenuse

Answer 3

:))

Answer 4

20cos60=10
and
20sin60=10 *(30)^1/2

Answer 5

@siriam: LOLwut?

Answer 6

You can just use some formulas because the given is a special triangle.

Answer 7

you need to trig for this. short side is half of long side because it is half of an equilateral triangle
then the other side comes from pythagoras.

Answer 8

i meant you need NO trig

Answer 9

dude 20/short side=cos60
& 20 / long side=sin60
whats wrong in it??

Answer 10

there's nothing wrong with it, it's just the harder option.

Answer 11

Nothing. You can just use simple equations for special triangles.

Answer 12

nothing wrong except that the only reason you know the cosine of 60 degrees is because you know the ratios, not the other way around!

Answer 13

short=20*sin30=10 long=20*sin60=10\[\sqrt{3}\]

Answer 14

Why are you applying trigonometry on such easy questions?

Answer 15

You can just use simple equations on special triangles.

Answer 16

in a 30-60-90,

a = short side,
b = long side,
c = hypotenuse

c = 2a ;

b = \[ a \sqrt{3}\]

Answer 17

i think u did it too.i have no problem with trigonometry

Answer 18

\[\text{long} \text{side}=20\text{Cos}\left[\text{ArcSin}\left[\frac{10}{20}\right]\right]=10 \sqrt{3} \]\[20^2=10^2+\left(10 \sqrt{3}\right)^2, 400=100+300, 400= 400 \]