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space4cadet101
 one year ago
Best ResponseYou've already chosen the best response.1In triangle DEF, what is the length of DF?

space4cadet101
 one year ago
Best ResponseYou've already chosen the best response.1here is the question.....i am not really sure how to do it??

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.2Well, for starters, DF is the hypotenuse of this right triangle, right? :)

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.2Yes... let's redraw this figure, but only including the relevant stuff... dw:1362665968423:dw Now, with respect to the sixty degree angle, what is the side measuring 45?

space4cadet101
 one year ago
Best ResponseYou've already chosen the best response.1I am not really sure I would think the other angle down below would be 30 degrees if there was one?? I would guess it would be 30 square root of three??

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.2Hang on :) Is this side... dw:1362666135050:dw Opposite to the 60 degree angle? Is it adjacent to it?

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.2Oh wait, it seems like you already got the answer down...

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.2Okay, forget what I said. Do you use sines and cosines already? :D

space4cadet101
 one year ago
Best ResponseYou've already chosen the best response.1yes I did but can you give me the math part of the equation like how to do it?? I mean I think I know how to do it but I need someone to just write out how they did the equation! if that makes any since??

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.2Okay, you want to use sines and cosines, or just the properties of the socalled 306090 triangles?

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.2Yes, what? I gave you a choice :P

space4cadet101
 one year ago
Best ResponseYou've already chosen the best response.1oo sorry I only looked at the last one which is 306090 traingles that is what i wanted

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.2LOL OK :) so... suppose we have a 306090 triangle dw:1362666525444:dw

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.2Now, if one side measures...dw:1362666670884:dw This is the side opposite the 30degree angle, right?

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.2Well, in this case..., the angle opposite the 60degree angle would measure... dw:1362666746027:dw And the hypotenuse would measure

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.2dw:1362666784331:dw

space4cadet101
 one year ago
Best ResponseYou've already chosen the best response.1umm....well I guess 45??

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.2What? I didn't ask you anything yet... :P But yeah, you're given the side opposite the 60 degree angle, so that's 45. And this is equal to x sqrt(3) So... \[\large 45=x\sqrt3\] Now solve for x. Actually, solve for 2x, since that's the measure of the hypontenuse.

space4cadet101
 one year ago
Best ResponseYou've already chosen the best response.1wait this is were I get confused is adding them up!!

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.2Okay, slowly... \[45=x\sqrt3\]Now multiply both sides by 2 \[90=2x\sqrt3\]Now divide both sides by sqrt(3) \[\large \frac{90}{\sqrt{3}}=2x\]And rationalise the denominator... \[\large \frac{90\sqrt{3}}{3}=2x\]\[\huge 30\sqrt3=2x\]And so you were right the first time :D

space4cadet101
 one year ago
Best ResponseYou've already chosen the best response.1okay wow that is really nice of you to write all of that out for me :) thank you so much!! I will give you a medal for all of your help!! thank you :) have a great day!!

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.2But make sure you got how to do this... it's really a rewarding feeling, solving one type of problem for the first time on your own... real satisfying :)

space4cadet101
 one year ago
Best ResponseYou've already chosen the best response.1yeah!! I will write down those steps you gave me and use them in the future!! thank you :)
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