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Sir tell me what is the three angles of a triangle are in the ratio 1:2:1Find the angles of the triangle. Classify the triangle in two different ways?
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Sir tell me what is the three angles of a triangle are in the ratio 1:...
Angles of the Triangle:
- Let the three angles of the triangle be 1x, 2x, and 1x, where x is a constant.
- According to the given ratio, the angles are in the ratio 1:2:1.
Calculating the Angles:
- Sum of all angles in a triangle is 180 degrees.
- Therefore, 1x + 2x + 1x = 180 degrees.
- Solving the equation, we get x = 30 degrees.
- So, the angles of the triangle are 30 degrees, 60 degrees, and 30 degrees.
Classifying the Triangle:
By Angles:
- Since all angles of the triangle are equal, it is an Equilateral Triangle.
- An equilateral triangle has all sides and angles equal.
By Sides:
- Since all angles are equal, all sides of the triangle are also equal.
- Therefore, the triangle is also an Equilateral Triangle by sides.
- An equilateral triangle is a special case of an isosceles triangle where all sides are equal.
In conclusion, the triangle with angles in the ratio 1:2:1 has angles of 30 degrees, 60 degrees, and 30 degrees. It is classified as an Equilateral Triangle both by angles and sides. This means that all angles and sides of the triangle are equal, making it a unique and symmetrical shape.
- Let the three angles of the triangle be 1x, 2x, and 1x, where x is a constant.
- According to the given ratio, the angles are in the ratio 1:2:1.
Calculating the Angles:
- Sum of all angles in a triangle is 180 degrees.
- Therefore, 1x + 2x + 1x = 180 degrees.
- Solving the equation, we get x = 30 degrees.
- So, the angles of the triangle are 30 degrees, 60 degrees, and 30 degrees.
Classifying the Triangle:
By Angles:
- Since all angles of the triangle are equal, it is an Equilateral Triangle.
- An equilateral triangle has all sides and angles equal.
By Sides:
- Since all angles are equal, all sides of the triangle are also equal.
- Therefore, the triangle is also an Equilateral Triangle by sides.
- An equilateral triangle is a special case of an isosceles triangle where all sides are equal.
In conclusion, the triangle with angles in the ratio 1:2:1 has angles of 30 degrees, 60 degrees, and 30 degrees. It is classified as an Equilateral Triangle both by angles and sides. This means that all angles and sides of the triangle are equal, making it a unique and symmetrical shape.
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Sir tell me what is the three angles of a triangle are in the ratio 1:2:1Find the angles of the triangle. Classify the triangle in two different ways?
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Sir tell me what is the three angles of a triangle are in the ratio 1:2:1Find the angles of the triangle. Classify the triangle in two different ways? 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 Sir tell me what is the three angles of a triangle are in the ratio 1:2:1Find the angles of the triangle. Classify the triangle in two different ways? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sir tell me what is the three angles of a triangle are in the ratio 1:2:1Find the angles of the triangle. Classify the triangle in two different ways?.
Sir tell me what is the three angles of a triangle are in the ratio 1:2:1Find the angles of the triangle. Classify the triangle in two different ways? 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 Sir tell me what is the three angles of a triangle are in the ratio 1:2:1Find the angles of the triangle. Classify the triangle in two different ways? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sir tell me what is the three angles of a triangle are in the ratio 1:2:1Find the angles of the triangle. Classify the triangle in two different ways?.
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