To solve a triangle means to find the values of unknown sides and angles. to solve for non-right angled triangles, which two (2) rules can be applied ?
Question
To solve a triangle means to find the values of unknown sides and angles. to solve for non-right angled triangles, which two (2) rules can be applied ?
Solution
To solve for non-right angled triangles, you can apply the Law of Sines and the Law of Cosines.
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Law of Sines: This law states that the ratio of the length of a side of a triangle to the sine of its opposite angle is the same for all three sides of the triangle. It is usually written as a/sin(A) = b/sin(B) = c/sin(C), where a, b, and c are the lengths of the sides of the triangle, and A, B, and C are the angles opposite those sides.
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Law of Cosines: This law relates the lengths of the sides of a triangle to the cosine of one of its angles. It is usually written as c² = a² + b² - 2ab*cos(C), where a, b, and c are the lengths of the sides of the triangle, and C is the angle formed by sides a and b.
These two laws can be used to solve for unknown sides and angles in any triangle, not just right triangles.
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