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:)

2.645, not 2.65

ok, so then I just sub the 2 angs form 180 and....
right?

First find one of the other angles.

ok I just did

79.2

something is not right

I think you found the sum of 60 and one of the other ones, 19.1.

is 2.645 right for the third side?

\[\frac{a}{\sin \theta}=\frac{\sqrt{7} a}{\sin 60^o}\]

i found one angle to be 19.1

The side opposite 60 degrees would then have length,\[\sqrt{7}a\]

Yes, you're right.

how?

oh, yeah, i get it

How? Cosine rule, like you used before (if you're asking how I get sqrt(7)a?).

Once the other angle's found, you're done.

ok, subing 19.1+60 from 180 gives 100.9

but

when i try to find the last angle using sine rule, it gives me 79.2

which is right?

Yeah, you're right...

i did something wrong then

Bizarre

:)

the ratio of sides 1 to 3, the sine rule, the cosine rule and the 60 angle

the

whats the difference?

'the' restricts your choice

it says adjacent

but i still dont see what I did wrong :(

Omg, it just dawned on me - there are two possible solutions!

One set will have (60, 9.1 and the other) and (60, 79.2, other)

One assumption was missed - that there is only one solution.

I constructed a triangle on the description in GeoGebra and have (60,9.1,100.9) as one solution.

:) so there is just one solution?

in *one* rotation

so, is it then imposible to find both of the angles correctly?

so, how do I answer the quesstion in a work book? which set of angles do I choose?

ok..I'm trying to figure out a way to do it so that it doesn't take a millennium to type.

wouldn't the other angle be 30 and the other 90?

since the other is 60?

Now

where \[\sin^{-1}\frac{3\sqrt{3}}{2\sqrt{7}}\approx 79.1^o\]

Try taking the sine of both of them in your calculator.

So you have NO CHOICE but to accept two solutions for this first combination of sides.

ok
I get it

THANKS ALOT

hang on...

ok

just one question, is it a right triangle? ^_^

the question does not specify

because if so, then the other 2 angles are 90 and 30, otherwise , loki's answer is true :)

Wait wait wait...

:)

lol, alright

BUT

then alpha is 100.9 and beta is 19.1 ?

There are four possible combinations, but only ONE combination works

Yes

and he strikes again~ lol

and i;m drunk - came back from a dinner

but you've answered it , weirdly in such a state ._. did you get it andy?

yes

and, lokisan, you dont sound like drunk

maybe half drunk ~

discrete mathematics ^^" ...

yes...so the above set is 19.1 and 100.9.

Phew

Good question.

LOL

Happy with that BMFan?

yeah, it is hard, but i am damn happy

awesome