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Word problem of oblique triangle using law of sines?
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What situation would you be FORCED to use law of cosines as opposed to law of sines?
When none of the angles are known, and using Pythagoras, the triangle is known not to be right angled.
How do you use the law of sines?
The Law of Sines can be used to find unknown parts (a side or angle) of a triangle. For example if you know 2 angles and a side, or if you know 2 sides and 1 angle (depending on how they are oriented). Visit the Maths Is Fun site (link posted below) for a more graphical explanation.
When can you use the sine law?
The tricky part of the law of sines is knowing when you are able to use it. Whether you can use the law of Sine's or not depends on what information you have or were given. In some cases the information you were given could make two different triangles. There are three times when you can use the law of sines. One example of when you can use it is when you have the length of a side and the measures of both the angles that that side is adjacent to. This is called angle side angle or asa for short. Another time when you can use the law of sines is when you are given the measures of two angles and a side that is outside the angles. This is called aas. Finally the last case where you can use the law of sines is when you have two side lengths and the measure of an angle. Math teachers refer to this one as ssa, I remember that this one is special. If you are given the measure of an angle and two sides you could have two different triangles.
What is Law of the sine?
The law of sines is a statement about arbitrary triangles in the plane.The law of sines states that in any right triangle, the ratio of the opposite side length to the length of the hypotenuse (relative to an acute angle) is always relative to the size of the angle. Put more simply, it means that if you take the sine of an angle, the value will be equal to the length of the opposite side divided by the length of the hypotenuse. The practical application of this is when you know the length of only one side and the measure of one angle (other than the right angle) you can determine the other sides and the remaining angle.The law of sines states that in any right triangle, the ratio of the opposite side length to the length of the hypotenuse (relative to an acute angle) is always relative to the size of the angle. Put more simply, it means that if you take the sin of an angle, the value will be equal to the length of the opposite side divided by the length of the hypotenuse. The practical application of this is when you know the length of only one side and the measure of one angle
