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The angles of a triangle are in the ratio 1:2:1 .Find all the angles of the triangle. Name the triangle in two different ways.?
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The angles of a triangle are in the ratio 1:2:1 .Find all the angles o...
Given Information:
The angles of a triangle are in the ratio 1:2:1.
Solution:
Let the three angles of the triangle be x, 2x, and x.
Step 1: Finding the sum of the angles
According to the properties of a triangle, the sum of all angles is 180 degrees.
So, x + 2x + x = 180
Combining like terms, we get 4x = 180
Step 2: Solving for x
Dividing both sides by 4, we get x = 180/4 = 45 degrees.
Step 3: Finding the angles of the triangle
Substituting the value of x back into the equation, we get the angles of the triangle:
Angle 1: x = 45 degrees
Angle 2: 2x = 2 * 45 = 90 degrees
Angle 3: x = 45 degrees
Therefore, the angles of the triangle are 45 degrees, 90 degrees, and 45 degrees.
Naming the Triangle
Based on the angles, we can name the triangle in two different ways:
1. Isosceles Triangle: Since two angles (45 degrees and 45 degrees) are equal, the triangle can be classified as an isosceles triangle.
2. Right Triangle: Since one angle is 90 degrees, the triangle can also be classified as a right triangle.
Conclusion:
The angles of the triangle are 45 degrees, 90 degrees, and 45 degrees. The triangle can be named as an isosceles triangle or a right triangle based on its properties.
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The angles of a triangle are in the ratio 1:2:1 .Find all the angles of the triangle. Name the triangle in two different ways.?
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The angles of a triangle are in the ratio 1:2:1 .Find all the angles of the triangle. Name 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 The angles of a triangle are in the ratio 1:2:1 .Find all the angles of the triangle. Name 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 The angles of a triangle are in the ratio 1:2:1 .Find all the angles of the triangle. Name the triangle in two different ways.?.
The angles of a triangle are in the ratio 1:2:1 .Find all the angles of the triangle. Name 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 The angles of a triangle are in the ratio 1:2:1 .Find all the angles of the triangle. Name 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 The angles of a triangle are in the ratio 1:2:1 .Find all the angles of the triangle. Name the triangle in two different ways.?.
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