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March 27th, 2013, 06:06 AM   #1
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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.
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March 27th, 2013, 06:26 AM   #2
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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.
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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.
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March 27th, 2013, 01:31 PM   #4
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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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