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how to solve law of sines

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The Law of Sines. The Law of Sines (or Sine Rule) is very useful for solving triangles: a sin A = b sin B = c sin C. It works for any triangle: a,b and c are sides. A,B and C are angles. (Side a faces angle A,side b faces angle B and. side c faces angle C).

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  • How do you use the law of sines?

  • The Law of Sines can be used to solve for the sides and angles of an oblique triangle when the following measurements are known: 1 Two angles and one side: AAS (angle-angle-side) or ASA (angle-side-angle) 2 Two sides and a non-included angle: SSA (side-side-angle) More …

  • How do you use the law of sines to solve triangulation?

  • You can transform the law of sines formulas to solve some problems of triangulation (solving a triangle). You can use them to find: The remaining sides of a triangle, knowing two angles and one side. The third side of a triangle, knowing two sides and one of the non-enclosed angles.

  • How do you use the law of sines to prove congruence?

  • To use the Law of Sines you need to know either two angles and one side of the triangle (AAS or ASA) or two sides and an angle opposite one of them (SSA). Notice that for the first two cases we use the same parts that we used to prove congruence of triangles in geometry but in the last case we could not prove congruent triangles given these parts.

  • How do you find the sine of a triangle?

  • In a triangle, side 鈥渁鈥?divided by the sine of angle A is equal to the side 鈥渂鈥?divided by the sine of angle B is equal to the side 鈥渃鈥?divided by the sine of angle C. So, we use the Sine rule to find unknown lengths or angles of the triangle. It is also called as Sine Rule, Sine Law or Sine Formula.

    how to do law of sines

    how to do law of sines插图

    Best answer


    The Law of Sines. The Law of Sines (or Sine Rule) is very useful for solving triangles: a sin A = b sin B = c sin C. It works for any triangle: a,b and c are sides. A,B and C are angles. (Side a faces angle A,side b faces angle B and. side c faces angle C).

    People also ask


  • How do you use the law of sines to find sides?

  • The Law of Sines is one such relationship. Another is the Law of Cosines. The Law of Sines can be used to solve for the sides and angles of an oblique triangle when the following measurements are known: Two angles and one side: AAS (angle-angle-side) or ASA (angle-side-angle) For triangle ABC, a = 3, A = 70, and C = 45. Find B, b, and c.

  • What is the law of sin in geometry?

  • The Law of Sines. The Law of Sines (or Sine Rule) is very useful for solving triangles: a sin A = b sin B = c sin C. It works … (Side a faces angle A, side b faces angle B and side c faces angle C). And it says that: When we divide side a by the sine of angle A it is equal to side b divided by the sine of angle B, and also equal to side c …

  • How do you use the law of sinus?

  • Law of Sines. In 螖ABC is an oblique triangle with sides a,b and c , then a sinA = b sinB = c sinC . To use the Law of Sines you need to know either two angles and one side of the triangle (AAS or ASA) or two sides and an angle opposite one of them (SSA). Notice that for the first two cases we use…

  • What is the form of B from the law of sines?

  • B is acute. If we are given two sides and an included angle of a triangle or if we are given 3 sides of a triangle, we cannot use the Law of Sines because we cannot set up any proportions where enough information is known. In these two cases we must use the Law of Cosines .