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anonymous
 one year ago
The longer leg of a 30°60°90° triangle is 18. What is the length of the other leg?
Any help please?
anonymous
 one year ago
The longer leg of a 30°60°90° triangle is 18. What is the length of the other leg? Any help please?

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wolf1728
 one year ago
Best ResponseYou've already chosen the best response.0The shortest leg would be 9

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.0The other leg would equal (square root of three / 2) * 18 15.5884572681 or about 15.588 Go to here: http://www.1728.org/trig2.htm for more information.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but if the shortest leg were 9 then hypotenuse would be 18 and the hypotenuse cant be the same at the leg

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.0Shortest leg = 9 "Medium" side = 15.588 Hypotenuse = 18 Where's the problem?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0cause isnt the question giving the medium? it didnt say the hypotenuse was 18 is said the longest leg was 18

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.0Okay, technically, the"leg" of a right triangle is generally not the hypotenuse. I wish they would word these problems better. The "longer leg" = 18 When you know the "medium" side then the short leg = "medium" side * (1/square root of 3) = 10.3932

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0its gives me 4 answers A 4(square root over 3) B) 12(square root over 3) C) 9 D) 6(square root over 3)

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.0It seems 9 is the only correct answer IF the hypotenuse is equal to 18.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0alright ill give 9 a try thank you

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.0Will you get an answer right after you post that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0no not right away but i am kinda of question that but you are smarter then me so ill take that answer

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.0Well thanks for the comment. Well maybe in math anyway.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@mathmath333 are you good at geometry? if so im having trouble with this question and im questioning the answer he gave me which was 9 could you possibly help me a bit?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0help im questioning the answer 9?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0is it right @zepdrix

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how did you conclude that 18 was the hypotenuse? isnt the longest leg 18 like i told him its not saying the hypotenuse is 18 is saying the longest leg is 18 so were already given 1 leg

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1oh oh oh oh oh, when i read the question, for some reason i read "longest leg" it says longer leg, woops woops woops :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1433485148161:dw

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1The wording is very poor, but yes you're probably right, it's probably referring to the medium length leg

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0see this is how im seeing it in my head

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Ok this is going to be a little tricky. How did we get from the short leg to the medium leg? We had to multiply the short leg by sqrt3, yes?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1So to get from the medium leg back to the short leg, we need to divide by sqrt3.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1We are expected to "rationalize" this though. Get the irrational value out of the denominator. But does that step make sense? +_+

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0a little im still a little confused since you both thought the hypotenuse was 18 ha but im still a little lost you divide 18( square root of 3)?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1ya let's ignore my previous picture :) that was bad hehe.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433485455488:dwThis is what our relationship tells us. If we start at the shortest leg, we multiply that length by sqrt3 to get the medium leg.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433485530439:dwBut we're starting with the medium leg, so we don't multiply, we need to go in reverse. So yet, we'll divide by sqrt3 to get back to the short leg.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1But we're expected to rationalize this value. They don't like when we leave square roots in the bottom. We have our short length, 18/sqrt3, We'll multiply top and bottom by sqrt3,\[\Large\rm \frac{18}{\sqrt3}\cdot\frac{\sqrt3}{\sqrt3}=?\]Do you see what this will do for us?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it will get rid of the square roots right?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Yes, good, just leaving us with a 3 down there.\[\Large\rm =\frac{18\sqrt3}{3}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0hmm you divide the 18 by 3 right?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Ah yes very good, since it doesn't match any of our options yet.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.06 (square root over 3) right

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wow thank \(^.^)/ that was great help and really good explanations you gave me

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1np, these special triangles are a piece of cake once you've gotten the hang of them. You should be ok after a lil while! :)

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.0Gee, I did have the answer of 18/(sq root of 3) but I just went that far and didn't rationalize the denominator. Heck I'd rather give an answer of 10.3923 Oh well, zepdrix, YOU got the correct answer.

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.0Gee now that I see the answers I was given: ********************************* its gives me 4 answers A 4(square root over 3) B) 12(square root over 3) C) 9 D) 6(square root over 3) ******************************** The answer 6 divided by the square root of 3 isn't specifically stated as such is it?
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