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The angle of a triangle are in the ratio 2:3:5 Find the angles
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The angle of a triangle are in the ratio 2:3:5 Find the angles Related...
The sum of interior angles inside the triangle is
180degree
2x:3x:5x
2x+3x+5x=180degree
10x=180degree
x=18degree
Their original ration is then,
36degree:54degree:90
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Most Upvoted Answer
The angle of a triangle are in the ratio 2:3:5 Find the angles Related...
Explanation:
We are given that the angles of a triangle are in the ratio 2:3:5. Let's denote the three angles as 2x, 3x, and 5x respectively.
To find the value of x, we can use the fact that the sum of all angles in a triangle is 180 degrees. So, we have:
2x + 3x + 5x = 180
Simplifying the equation, we get:
10x = 180
Dividing both sides by 10, we find:
x = 18
Now, we can substitute the value of x back into the expressions for the angles to find their actual values.
The first angle is given by 2x, so substituting x = 18, we find:
First angle = 2(18) = 36 degrees
The second angle is given by 3x, so substituting x = 18, we find:
Second angle = 3(18) = 54 degrees
The third angle is given by 5x, so substituting x = 18, we find:
Third angle = 5(18) = 90 degrees
Therefore, the angles of the triangle are 36 degrees, 54 degrees, and 90 degrees.
Summary:
The angles of the triangle are 36 degrees, 54 degrees, and 90 degrees.
We are given that the angles of a triangle are in the ratio 2:3:5. Let's denote the three angles as 2x, 3x, and 5x respectively.
To find the value of x, we can use the fact that the sum of all angles in a triangle is 180 degrees. So, we have:
2x + 3x + 5x = 180
Simplifying the equation, we get:
10x = 180
Dividing both sides by 10, we find:
x = 18
Now, we can substitute the value of x back into the expressions for the angles to find their actual values.
The first angle is given by 2x, so substituting x = 18, we find:
First angle = 2(18) = 36 degrees
The second angle is given by 3x, so substituting x = 18, we find:
Second angle = 3(18) = 54 degrees
The third angle is given by 5x, so substituting x = 18, we find:
Third angle = 5(18) = 90 degrees
Therefore, the angles of the triangle are 36 degrees, 54 degrees, and 90 degrees.
Summary:
The angles of the triangle are 36 degrees, 54 degrees, and 90 degrees.
Community Answer
The angle of a triangle are in the ratio 2:3:5 Find the angles Related...
Sum of the angles of a triangle= 180DEG
Let the angles be 2k, 3k and 5k
Therefore the first angle=2k/10k*180DEG=36DEG
The second angle=3k/10k*180DEG=54DEG
The third angle=5k/10k*180DEG=90DEG
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The angle of a triangle are in the ratio 2:3:5 Find the angles Related: NCERT Solutions Chapter 6 (Part - 1) - The Triangle and Its Properties, Maths, Class 7
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The angle of a triangle are in the ratio 2:3:5 Find the angles Related: NCERT Solutions Chapter 6 (Part - 1) - The Triangle and Its Properties, Maths, Class 7 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 angle of a triangle are in the ratio 2:3:5 Find the angles Related: NCERT Solutions Chapter 6 (Part - 1) - The Triangle and Its Properties, Maths, Class 7 covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The angle of a triangle are in the ratio 2:3:5 Find the angles Related: NCERT Solutions Chapter 6 (Part - 1) - The Triangle and Its Properties, Maths, Class 7.
The angle of a triangle are in the ratio 2:3:5 Find the angles Related: NCERT Solutions Chapter 6 (Part - 1) - The Triangle and Its Properties, Maths, Class 7 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 angle of a triangle are in the ratio 2:3:5 Find the angles Related: NCERT Solutions Chapter 6 (Part - 1) - The Triangle and Its Properties, Maths, Class 7 covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The angle of a triangle are in the ratio 2:3:5 Find the angles Related: NCERT Solutions Chapter 6 (Part - 1) - The Triangle and Its Properties, Maths, Class 7.
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