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your longer leg now how do I know that

this is my longer leg well if I look at

my angle measures 30 degrees is my

smallest measure which means the side

that is opposite of 30 will be my

shortest leg the next longest will be my

next largest angle and since 60 degrees

is smaller than 90 60 degrees is my next

longest leg and then of course our

hypotenuse is always the longest side in

our triangle so to go from our shorter

leg to our longer leg I need to multiply

by the square root of 3 so if this side

is let's say 5 units then your longer

leg will be 5 times the square root of 3

now let's say you want to find your

hypotenuse to go from your shorter leg

to your hypotenuse all you need to do is

multiply by 2 so this is going to be 2

times s so if s is 5 your hypotenuse

will be 10 so this works in both

directions so let's say you had your

longer like and you wanted to find the

other two sides well first and actually

I guess I forgot to write down right

here that you would multiply by the

square root of 3 so let's say you wanted

to go in the opposite direction from

your longer leg to your shorter leg well

the inverse operation of multiplying by

3 is 2 divided by the square root of 3

the inverse operation of going from your

hypotenuse to your shorter leg is going

to be now multiplying by 2

but dividing by 2 so the key

leg in this triangle is the shorter leg

because from here you can find your

hypotenuse by multiplying by two and you

can find your longer leg so use these

shortcuts whenever you see a triangle

with 30 60 and 90 degrees and by two I

can't do this with you two laughing back

there so if we had no that's not right

three co-player points so have you ever

gotten up a airplane that should be yeah

dang it like 500 degrees in here what

all right when you're in chemistry class

they're gonna be doing a lot of work

you're gonna go funny ever so as an

example we can consider like you've got

a chain hanging from - um - fix

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