The Law of Cosines is used in real life when you need to find the lengths of sides or angles in non-right triangles, such as in navigation, architecture, and engineering. It is particularly useful in situations where you know two sides and the included angle, or all three sides of a triangle, allowing for accurate calculations in various fields like surveying or physics. For example, it can help determine distances between points on a map or calculate forces acting on structures.
Use the law of cosines (look them up on wikipedia).
Having sufficient angles or sides one can use either, The Law of Sines, or, The Law of Cosines. Google them.
To solve an oblique triangle (a triangle without a right angle), you can use the Law of Sines or the Law of Cosines, depending on the information given. If you have two angles and one side (AAS or ASA), you can apply the Law of Sines to find the unknown sides. If you have two sides and the included angle (SAS) or all three sides (SSS), the Law of Cosines is appropriate. By using these laws, you can find the remaining sides and angles of the triangle.
If you have two other angles, then add up those 2 and subtract that from 180. if you have all 3 sides then use the law of cosines: a squared = b squared + c squared - 2bc (cos A) If you have one angle and the 2 included sides, use the law of cosines as well. if you have an angle and the length of its opposite side, and the side opposite to the angle you want, then use the law of sines: sin A/ a = sin B/ b if you have the angle and the length of its opposite side and another angle, use the law of sines to figure out the unwanted angle anyway and then follow situation 1.
If it's a right triangle, use pythagorean's theorem (a2+b2=c2) to solve it. = If it's an oblique triangle, use the law of sines or cosines (see related link)
We use the law of Cosines to be able to find : 1. The measure of the third side, when the measure of two sides and the included angle of a triangle ABC are known. 2. The measure of any angle, when the measure of the three sides of a triangle ABC are known.
Use the law of cosines (look them up on wikipedia).
Yes, absolutely
When none of the angles are known, and using Pythagoras, the triangle is known not to be right angled.
Having sufficient angles or sides one can use either, The Law of Sines, or, The Law of Cosines. Google them.
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Use Law of Sines if you know:Two angle measures and any side length orTwo side lengths and a non-included angle measure.Use Law of Cosines if you know:Two side lengths and the included angle measure orThree side lengths.
If you have two other angles, then add up those 2 and subtract that from 180. if you have all 3 sides then use the law of cosines: a squared = b squared + c squared - 2bc (cos A) If you have one angle and the 2 included sides, use the law of cosines as well. if you have an angle and the length of its opposite side, and the side opposite to the angle you want, then use the law of sines: sin A/ a = sin B/ b if you have the angle and the length of its opposite side and another angle, use the law of sines to figure out the unwanted angle anyway and then follow situation 1.
If it's a right triangle, use pythagorean's theorem (a2+b2=c2) to solve it. = If it's an oblique triangle, use the law of sines or cosines (see related link)
There is no general formula. You could use basic trigonometry.
The law of the state in which the property is located, for real property, or for personal property, the law of the owner's residence.
c^2 = A^2 + b^2 - 2abcosx rearranging would tell you that A^2 = C^2 + 2abcosx - B^2