If I know the measures of all three angles and none of the sides of an oblique triangle, neither the Law of Sines nor the Law of Cosines can be used to find the length of a side.
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True

False

The statement is **True**.

To apply either the Law of Sines or the Law of Cosines, at least one side of the triangle must be known. Knowing only the angles (without any side lengths) is insufficient for calculating the side lengths because these laws relate sides to angles. Thus, if no side length is given, neither the Law of Sines nor the Law of Cosines can be used to find the length of a side.

Would you like further clarification or details on this concept?

Here are 5 follow-up questions that expand on this topic:
1. How does the Law of Sines relate angles and sides in a triangle?
2. How can the Law of Cosines be used to solve an oblique triangle if at least one side is known?
3. What other methods can be used to solve a triangle if only the angles are known?
4. What is the difference between solving a right triangle and an oblique triangle?
5. In what scenarios can both the Law of Sines and the Law of Cosines be applied simultaneously?

**Tip:** Always remember that knowing one side is crucial when using trigonometric laws to solve triangles.

If I know the measures of all three angles and none of the sides of an oblique triangle, neither the Law of Sines nor the Law of Cosines can be used to find the length of a side. True or False?

Explore why the Law of Sines and Law of Cosines cannot be applied if you only know the angles in an oblique triangle but no side lengths. This topic covers key trigonometric concepts relevant to solving oblique triangles, appropriate for students in Grades 9-12.

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