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In which of the following cases is the construction of a triangle not possible?
  • a)
    Measures of 3 sides are given.
  • b)
    Measures of 2 sides and an included angle are given.
  • c)
    Measures of 2 angles and a side are given.
  • d)
    Measures of 3 angles are given.
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In which of the following cases is the construction of a triangle not ...
The construction of a triangle is not possible in the case where "measures of 3 angles are given."
To construct a triangle, you need to have at least three pieces of information about the triangle, such as the lengths of its sides or the measures of its angles. However, the measures of three angles do not provide enough information to determine the shape or size of the triangle.
In the other cases listed, the construction of a triangle is possible. If you have the measures of three sides, you can use the Triangle Inequality Theorem to determine whether the measures form a valid triangle. If you have the measures of two sides and an included angle, you can use the Law of Cosines to determine the measure of the third side and then use the Triangle Inequality Theorem to determine whether the measures form a valid triangle. If you have the measures of two angles and a side, you can use the Law of Sines to determine the measures of the other two sides and then use the Triangle Inequality Theorem to determine whether the measures form a valid triangle.
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In which of the following cases is the construction of a triangle not possible?a)Measures of 3 sides are given.b)Measures of 2 sides and an included angle are given.c)Measures of 2 angles and a side are given.d)Measures of 3 angles are given.Correct answer is option 'D'. Can you explain this answer?
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In which of the following cases is the construction of a triangle not possible?a)Measures of 3 sides are given.b)Measures of 2 sides and an included angle are given.c)Measures of 2 angles and a side are given.d)Measures of 3 angles are given.Correct answer is option 'D'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about In which of the following cases is the construction of a triangle not possible?a)Measures of 3 sides are given.b)Measures of 2 sides and an included angle are given.c)Measures of 2 angles and a side are given.d)Measures of 3 angles are given.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In which of the following cases is the construction of a triangle not possible?a)Measures of 3 sides are given.b)Measures of 2 sides and an included angle are given.c)Measures of 2 angles and a side are given.d)Measures of 3 angles are given.Correct answer is option 'D'. Can you explain this answer?.
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