When 2 sides and a non-included angle are known, click here.
For a short trigonometry tutorial, click here.
The graphic at the top of this page depicts 4 instances of solving for ANY type of
Diagram 1 is self-explanatory.
Diagram 2 (abbreviated S-A-S) You must use an included angle (the angle between the
Diagram 3 (abbreviated A-S-A) You must use an included side (the side between
the two angles).
Diagram 4 Only the ratio of the 3 sides can be determined. If you input
the smallest angle in the "ANGLE 1" box, then the shortest side will have a
value of 1. If you input the largest angle in the "ANGLE 1" box, then the
longest side will have a value of 1.
Note: If you are given 3 angles and they sum to 180° they will always form a triangle.
To clear the boxes to input more data, click any of the 4 numbered "choice" buttons.|
Here's a neat time-saver for you. Click button number 1, input 3 sides, then click
calculate. The default is degrees but let's suppose you wanted radians. Click on 'radians',
do NOT click on button 1 again but click on 'calculate'. Pretty neat huh?
If you did this with choice number 2, you would have to change one input box to radians,
and with choice 3, you would have to change two input boxes to radians.
Numbers are displayed in scientific notation with the amount of
significant figures you specify. For easier readability, numbers between .001 and 1,000
will not be in scientific notation but will still have the same precision.
You may change the number of significant figures displayed by
changing the number in the box above.
Most browsers, will display the answers properly but
if you are seeing no answers at all, enter a zero in the box above, which will
eliminate all formatting but at least you will see the answers.
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