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Mathematics 8 Online
OpenStudy (iwanttogotostanford):

ACT PREP QUESTION NEED HELP: Which of the following sets of 3 numbers could be the side lengths, in meters, of a 30 degree -60 degree -90 degree triangle??? A. 1,1,1 B. 1, 1 , sqr root2 C. 1, sqr root 2, sqr root 2 D. 1, sqr root2, sqr root 3 E. 1, sqr root 3, 2

OpenStudy (iwanttogotostanford):

@zepdrix @Nnesha

zepdrix (zepdrix):

Hmm I can't think of a way to explain this one without just giving the answer :P

OpenStudy (misty1212):

HI!!

OpenStudy (misty1212):

neither can i because what you need to know is ratio of a 30-60-90 right triangle are \[1:\sqrt3:2\] for short leg : long leg : hypotenuse

OpenStudy (iwanttogotostanford):

well i already know the answer because i am using a ACT prep book i just need to know how to figure it out for future

OpenStudy (misty1212):

there is no other way to say it than just to say it that actually happens to be one of your answer, but so would \[2,2\sqrt3,4\]

OpenStudy (iwanttogotostanford):

all i need to know is how i can remember problems like it for the ACT

OpenStudy (misty1212):

or \[\frac{1}{\sqrt3},1,\frac{2}{\sqrt3}\]

OpenStudy (iwanttogotostanford):

i dont understand this problem at all..

OpenStudy (misty1212):

it is always true that the ration of a 30-60-90 right triangle are \[\huge 1:\sqrt3:2\] what is what you need to know it is a fact

OpenStudy (misty1212):

*ratios

OpenStudy (iwanttogotostanford):

so its just basically a rule i need to know? no real figuring here?

OpenStudy (misty1212):

so for example if the short leg hat measure \(10\) then the long leg would have measure \(10\sqrt3\) and the hypotenuse would measure \(20\)

OpenStudy (misty1212):

you can derive it, but you don't want to have to do that on the fly remembering is best

OpenStudy (iwanttogotostanford):

so its a rule they want me to know? an thanks!

OpenStudy (misty1212):

yes, it is used in trig all the time

OpenStudy (iwanttogotostanford):

ah ok i haven't reached trig yet I'm in alg. 2 right now, thanks!

OpenStudy (misty1212):

\[\color\magenta\heartsuit\]

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