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Multiple select📘 G.SRT.D.10🧠 DOK 1

Question:

Which of the following statements correctly describe the application of the Law of Sines or the Law of Cosines in solving triangles? Select all that apply.

Answer Choices:

  • A) The Law of Sines can be used to find the length of a side in a right triangle when two angles and one side are known.
  • B) The Law of Cosines can be used to find the length of a side in a non-right triangle when two sides and the included angle are known.
  • C) The Law of Sines is only applicable to right triangles.
  • D) The Law of Cosines applies only to isosceles triangles.
  • E) The Law of Sines can be used to find an unknown angle in a non-right triangle when two sides and one angle are known.
✅ Answer:
The Law of Sines can be used to find the length of a side in a right triangle when two angles and one side are known.;The Law of Cosines can be used to find the length of a side in a non-right triangle when two sides and the included angle are known.;The Law of Sines can be used to find an unknown angle in a non-right triangle when two sides and one angle are known.

💡 Explanation:

  • The Law of Sines is applicable for any triangle, not just right triangles, and can be used when we know two angles and one side or two sides and one angle.

  • The Law of Cosines, on the other hand, is useful for finding unknown sides or angles in any triangle, not just isosceles triangles, particularly when two sides and the included angle are known.

Standard: G.SRT.D.10 | DOK: 1

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