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

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

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

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

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

space4cadet101
 2 years 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
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.2Yes, what? I gave you a choice :P

space4cadet101
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.2LOL OK :) so... suppose we have a 306090 triangle dw:1362666525444:dw

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

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

terenzreignz
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.1wait this is were I get confused is adding them up!!

terenzreignz
 2 years 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
 2 years 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
 2 years 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
 2 years 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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