Can you calculate a side if you know 1 angle, side and the area?

amathproblemthatneedsolve

amathproblemthatneedsolve

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The questions in the title "Can you calculate aside if you know 1 angle, 1 side, and the area?" I was trying to search it but with no luck. NOTE the triangle is not an isosceles.
 
I am glad that you said that it is a triangle you are considering.
What have tried? Where are you stuck?
Have you drawn a triangle labeling what you have? Is that the only type triangle you can draw?
We can't help you if you do not tell us where you are stuck. So please post your work so we can what is going on.

Why are you searching for the answer to your question. Why not try to figure it out yourself?
 
amathproblemthatneedsolve said:
The questions in the title "Can you calculate aside if you know 1 angle, 1 side, and the area?" I was trying to search it but with no luck. NOTE the triangle is not an isosceles.
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Which angle is given?

The angle opposite to the side or

One of the angles attached to the side?
 
One of the angles attached to the side.(I'll attach a triangle (not a specific just for example purposes)
).Screenshot 2019-11-04 at 10.39.54 AM.png Let's say I know angle y, side b and the area of the triangle.
 
At some point you have to consider the other type of triangle, but for now let's work with this one. So what is the area of this triangle? We can call the area K (A has already been used). So can you express K in terms of what you do know?
 
it doesn't matter but let's say it's the area is [MATH]2320m^2[/MATH] and let's say angle A is [MATH]44°[/MATH] ,and length [MATH]b=124m[MATH][/MATH][/MATH]
 
amathproblemthatneedsolve said:
it doesn't matter but let's say it's the area is [MATH]2320m^2[/MATH] and let's say angle A is [MATH]44°[/MATH] ,and length [MATH]b=124m[MATH][/MATH][/MATH]
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Exactly, so let's say the area is K m^2, the angle by point C will have Co and the length of side b will be b m^2.
Can you find the area K?
 
Construct a perpendicular from AC to B. Say the point D is where AC is intersected by the perpendicular.

What is the length BD?

Now use the law of sines to find the length of BC. Now what?
 
amathproblemthatneedsolve said:
Post #6 I call it area, but in your terms area is K.
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Sorry but that is simply not true. In post #6 you called the area 2320m^2 not area as you claim now. This problem may be solvable if we know some specific information. Like one angle is 90o, one leg is 3m and the area is 6m^2. Then one side is easily obtainable (do you see the length of another side of this triangle?) However, maybe in the general case we can not always solve for one side. This is why we do not pick values for the angle or the length of a side
 
You need to believe what I am telling you. You can't use numbers in this type of problem!
 
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