My Math Forum Find Remaining Angles and Sides of triangle

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 March 27th, 2013, 06:06 AM #1 Newbie   Joined: Mar 2013 Posts: 10 Thanks: 0 Find Remaining Angles and Sides of triangle Find the remaining angles and side if they exist. If no triangle exists, say "No triangle" a= 4 b=1 y=100 degrees Please help! and I am also assuming that sides a and b form to make angle y, which would make it a triangle, I think.
 March 27th, 2013, 06:26 AM #2 Senior Member   Joined: Feb 2013 Posts: 281 Thanks: 0 Re: Find Remaining Angles and Sides of triangle Does the example state that y is the angle between a and b or not? If not, you have to analyse all the three cases. Draw a sketch, that helps a lot. Two cases are possible, one is not. It is because the biggest angle is always in front of the biggest side, and b=1 can't be the biggest.
March 27th, 2013, 07:32 AM   #3
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Re: Find Remaining Angles and Sides of triangle

Quote:
 Originally Posted by csak Does the example state that y is the angle between a and b or not? If not, you have to analyse all the three cases. Draw a sketch, that helps a lot. Two cases are possible, one is not. It is because the biggest angle is always in front of the biggest side, and b=1 can't be the biggest.
Sadly the example does not state if it is angle or not. I dont quiet understand what you mean by all three cases. I started working the problem using the cosine rule and found the third side which is 4.29 (in the case that angle y forms between side a and b) but got stuck when I continued to use the cosine rule to find the other angles, something (could be my math) was just not working.

 March 27th, 2013, 01:31 PM #4 Senior Member   Joined: Feb 2013 Posts: 281 Thanks: 0 Re: Find Remaining Angles and Sides of triangle case 1: y = the angle between a and b case 2: y = the angle between a and c case 3: y = the angle between b and c

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