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A triangle has angles measuring 50°, 60°, and 70°. What kind of triangle is it based on its angles?
- a)Right triangle
- b)Obtuse triangle
- c)Acute triangle
- d)Isosceles triangle
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A triangle has angles measuring 50°, 60°, and 70°. What kind of triang...
A triangle where all angles are less than 90 degrees is called an acute triangle. Since each angle here is under 90°, this triangle qualifies as an acute triangle.
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A triangle has angles measuring 50°, 60°, and 70°. What kind of triang...
Understanding Triangle Types by Angles
Triangles can be classified based on their angles into three main types: right, obtuse, and acute. Let's explore how the angles of the triangle you mentioned fit into these categories.
Angle Measures
- The triangle has angles measuring 50°, 60°, and 70°.
- The sum of the angles in any triangle is always 180°.
Types of Triangles by Angles
1. Right Triangle:
- Contains one angle that measures exactly 90°.
- Since none of the angles in this triangle measure 90°, it is not a right triangle.
2. Obtuse Triangle:
- Contains one angle that measures more than 90°.
- All angles in this triangle are less than 90°, ruling out the possibility of it being obtuse.
3. Acute Triangle:
- All angles are less than 90°.
- With angles measuring 50°, 60°, and 70°, all are less than 90°, making it an acute triangle.
Conclusion
Given that all angles in the triangle are less than 90°, the correct classification is:
- Acute Triangle (option 'C').
This classification emphasizes the unique properties of the triangle based on its angles, confirming its acute nature.
Triangles can be classified based on their angles into three main types: right, obtuse, and acute. Let's explore how the angles of the triangle you mentioned fit into these categories.
Angle Measures
- The triangle has angles measuring 50°, 60°, and 70°.
- The sum of the angles in any triangle is always 180°.
Types of Triangles by Angles
1. Right Triangle:
- Contains one angle that measures exactly 90°.
- Since none of the angles in this triangle measure 90°, it is not a right triangle.
2. Obtuse Triangle:
- Contains one angle that measures more than 90°.
- All angles in this triangle are less than 90°, ruling out the possibility of it being obtuse.
3. Acute Triangle:
- All angles are less than 90°.
- With angles measuring 50°, 60°, and 70°, all are less than 90°, making it an acute triangle.
Conclusion
Given that all angles in the triangle are less than 90°, the correct classification is:
- Acute Triangle (option 'C').
This classification emphasizes the unique properties of the triangle based on its angles, confirming its acute nature.
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A triangle has angles measuring 50°, 60°, and 70°. What kind of triangle is it based on its angles?a)Right triangleb)Obtuse trianglec)Acute triangled)Isosceles triangleCorrect answer is option 'C'. Can you explain this answer? for Class 5 2025 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about A triangle has angles measuring 50°, 60°, and 70°. What kind of triangle is it based on its angles?a)Right triangleb)Obtuse trianglec)Acute triangled)Isosceles triangleCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 5 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A triangle has angles measuring 50°, 60°, and 70°. What kind of triangle is it based on its angles?a)Right triangleb)Obtuse trianglec)Acute triangled)Isosceles triangleCorrect answer is option 'C'. Can you explain this answer?.
A triangle has angles measuring 50°, 60°, and 70°. What kind of triangle is it based on its angles?a)Right triangleb)Obtuse trianglec)Acute triangled)Isosceles triangleCorrect answer is option 'C'. Can you explain this answer? for Class 5 2025 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about A triangle has angles measuring 50°, 60°, and 70°. What kind of triangle is it based on its angles?a)Right triangleb)Obtuse trianglec)Acute triangled)Isosceles triangleCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 5 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A triangle has angles measuring 50°, 60°, and 70°. What kind of triangle is it based on its angles?a)Right triangleb)Obtuse trianglec)Acute triangled)Isosceles triangleCorrect answer is option 'C'. Can you explain this answer?.
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