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Mathematics 16 Online
OpenStudy (anonymous):

Can someone please help me with the Geometry question?

OpenStudy (anonymous):

OpenStudy (anonymous):

I know to use the Pythagorean Theorem, but don't quite know what else.

OpenStudy (anonymous):

the Trip ABC is a right angled triangle right? one of the angles is 45degrees which means the other angle is = ?

OpenStudy (anonymous):

@Emah

OpenStudy (anonymous):

45

OpenStudy (anonymous):

so that mean BC is = AB you Add AB+BC = is the longer trip

OpenStudy (anonymous):

then AC would be the hypotenuse... you can either use Trig ratios or pythagoras theorem but calculator would be quickest i think

OpenStudy (anonymous):

AC is the shorter trip you subtract from the longer trip

OpenStudy (anonymous):

I jsut don't understand how to find the lengths.

OpenStudy (anonymous):

if you have a right angle and the other angle is is 45 degrees that means the other angle would also be 45 degrees and then the two sides are equal.....

OpenStudy (anonymous):

so AB is 200 miles then BC would also be 200 miles

OpenStudy (anonymous):

then to get hypotenuse you have to remember your trig ratios SOH CAH TOA

OpenStudy (anonymous):

Oh ok.. then I just find the hypotenuse...

OpenStudy (anonymous):

but there is a short cut for "special angles" which is 45 degrees is one of them but unless you have covered the theory for that you might get confused.

OpenStudy (anonymous):

yeah hypotenuse you can use 200 / Sin of 45 degrees

OpenStudy (anonymous):

Ok the answer I got is 282.85

OpenStudy (anonymous):

yeah :)

OpenStudy (anonymous):

now try to solve the second question

OpenStudy (anonymous):

you already know BC

OpenStudy (anonymous):

and you know two angles 90 and 30 ... find the other angle

OpenStudy (anonymous):

60..

OpenStudy (anonymous):

then use what information you have to get trig ratios SOH CAH or TOA to get the other sides

OpenStudy (anonymous):

For the second question I got 146.4. Is that right?

OpenStudy (anonymous):

how did you get to that

OpenStudy (anonymous):

lol did I do somthing wrong? The hypotenuse is always 2 the length of the shorter side. Then the longer leg is the shorter leg to the sqrt. of 3. then I subtracted.

OpenStudy (anonymous):

i think so :D

OpenStudy (anonymous):

oh oops...

OpenStudy (anonymous):

using that pythagorean ratios is the best and fastest, it's good to know :)

OpenStudy (anonymous):

I don't know those trig ratios..

OpenStudy (anonymous):

-"The hypotenuse is always 2 the length of the shorter side" No, the hypotenuse is the square of the sum of the squares of the other 2 sides. What you're thinking of is the bisector of an angle. It's twice as long between the center of the triangle to the vertex then it is from the center of the triangle to the center of the base. |dw:1366125552893:dw|

OpenStudy (anonymous):

@Emah you just used those ratios..... u have right answer

OpenStudy (anonymous):

@qweqwe123123123123111 she's only up to trig ratios for right angles... what you posted is different from what she is trying to learn and might just confuse her even more :S

OpenStudy (anonymous):

Ok I am confused.. I thought you said I was wrong

OpenStudy (anonymous):

and special angles 30-60 45 90 degrees...

OpenStudy (anonymous):

no i didn't... i asked how you got them and u showed me your answer and u used the bes tway of getting it :D

OpenStudy (anonymous):

Oh ok.. so its right? That is good. lol Yeah lol this is only geometry so its not too advanced or complicated

OpenStudy (anonymous):

yep :) .... just try to learn the theory behind it... i think Qweqwe posted something to explain it a bit more but if you know the theory (based on Pythagora), it also helps later on.... but for now you can just memorize for 45 degrees, ratio is 1,1 and sqareroot of 2 and for 30-60 degrees it's 1, 2 and sq root of 3 (2 being the hypotenuse)

OpenStudy (anonymous):

@miszery, I was addressing her claim that the hypotenuse "is always 2 the length of the shorter side". That claim is not only incorrect, I also believe she was misinterpreting the 2:1 ratio I indicated. It would do her no good to let her persist in her belief without correcting her.

OpenStudy (anonymous):

@qweqwe123123123123111 she was talking about the 30-60 degree ratios. but i knew what she meant since she got the right answer. :D

OpenStudy (anonymous):

Emah said "lol did I do somthing wrong? The hypotenuse is always 2 the length of the shorter side. Then the longer leg is the shorter leg to the sqrt. of 3. then I subtracted. "|dw:1366126755234:dw|

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