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That is how you find missing angles and sides using the Law of Sines.

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Plug it all in your calculator and you get b=25.06

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The sin will cross each other out leaving you with a simple multiplication problem.

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To get b alone you will multiply both sides by sin50.12.

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Now that you know all the angles, all you need to look for is side b. You will use the right side of the chart from before to find b.

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•so you know angle A=110 and angle C= 19.88.
•a triangle always adds up to 180.
•just subtract 110 and 19.88 by 180 and you find angle B.
•your answer: Sin B= 50.12.

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•Get the angle you are trying to find on one side. So multiply 20 on both sides.
•put in your calculator: 20(sin110/55)
•your answer will be 0.34.
•you will get C alone so you will have to get the opposite of sin and mulitply that by 0.34.
•you find the angle C as 19.88.

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•the reciprical will depend on which part of the triangle you are trying to find.
Because it is not easy to solve it in this way, we will flip the equation to make it look like this:

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•circle the ones that can be solved
•Because they all equal each other it does not matter which one you pick as long as it can be solved.
•i picked those too because you only had to find one angle and it is not possible to find sin B without its side.

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The sides (a,b and c) correlate with the angles (sin A, sin B, sin C). You can use either one depending what you are trying to fine.

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Let's refer to the second triangle on "Knowing the types of triangles". I will show you how to solve step by step.
•This triangle is an SAS.
•The given sides are a=55 and c=20. The given angle is sin110.
•First thing you will do is write down formula replacing its' variables with its given numbers.
• (the B at the top is supposed to be b)

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To solve an oblique triangle you need to know the measure of at least one side and any other parts of the triangle.
Types you can solve:
•2 sides amd any angle. (AAS or ASA)
•2 sides and an angle opposite one of them. (SSA)

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Oblique triangles: triangle that have no right angles.
For example:

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The law of sines helps you find parts of a triangle using parts you already know. You can use the Law of Sines to solve real-life problems involving oblique triangles.