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345 triangleby Bradracer18
Tags: triangle 
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#1
Mar1207, 10:15 AM

P: 203

1. The problem statement, all variables and given/known data
Hey, I have quick question. I tried looking on google, but couldn't quite reassure myself. Does a 345 triangle have to be a 304590 triangle? Can the angles be any angle?(this is what I think....but not confident). I have a triangle(this is actually a physics problem)....but the triangle has a leg which is 3' and a leg that is 4'.....so the hyp must be 5'....but i need to know the angles. 2. Relevant equations 3. The attempt at a solution 


#2
Mar1207, 10:21 AM

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No. 


#3
Mar1207, 10:29 AM

P: 371

There exists no triangle with 304590 angles. The sum of the angles must be 180.
It should be noted that the majority of sine, cosine and tangent arguments only work for right angled triangles. It's not necessarily true that a RIGHT triangle with 3 inch and a 4 inch lengths will have another side of length 5. How do you know that 4 isn't the hypoteneuse? 


#4
Mar1207, 10:32 AM

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345 triangle
You can find the angles of any shape of triangle using the cosine rule, if you know all three sides. For a 345 triangle, you know one angle is right angle, so you can save time and use the definitions of sine and cosine instead of using the full cosine rule. 


#5
Mar1207, 10:32 AM

P: 203

I have a picture......I guess I'm having a brain fart.....
I know there is a 90 deg angle(where the 3 and 4 sides meet,angle opposite from the hyp).....so then, can't i use the law of sines to find the angles? I know the def's of trig functions........what does that help.......opp/adj......opp/hyp......adj/hyp.... 


#6
Mar1207, 10:35 AM

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#7
Mar1207, 10:35 AM

P: 203

ok......so can't I just do this.....
sin90/5 = sinx/3 which I think gives me a 36.87 deg angle. This is what I came up with in the begining....just didn't seem right. 


#8
Mar1207, 10:36 AM

P: 203

tan = opp/adj.......or I think its also sin/cos(or something like that.....y/x?).....definately know its tan.



#9
Mar1207, 10:36 AM

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#10
Mar1207, 10:37 AM

P: 203

ok.....well I think I've got it then......thanks all! A nice brush up on my trig skills....ha



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