UPSC Exam > UPSC Questions > If the angles of a triangle are in the ratio ...
Start Learning for Free
If the angles of a triangle are in the ratio 5:3:2, then the triangle could be?
Most Upvoted Answer
If the angles of a triangle are in the ratio 5:3:2, then the triangle ...
Understanding the Triangle's Angles
To determine the angles of a triangle with a ratio of 5:3:2, we first represent the angles as 5x, 3x, and 2x, where x is a common multiplier.
Calculating the Angles
- The sum of the angles in any triangle is always 180 degrees.
- Therefore, we set up the equation:
5x + 3x + 2x = 180
- This simplifies to:
10x = 180
- Solving for x gives:
x = 18
Now, we can find the angles:
- Angle 1: 5x = 5 * 18 = 90 degrees
- Angle 2: 3x = 3 * 18 = 54 degrees
- Angle 3: 2x = 2 * 18 = 36 degrees
Identifying the Type of Triangle
- The triangle has angles of 90 degrees, 54 degrees, and 36 degrees.
- Since one angle is exactly 90 degrees, this indicates that the triangle is a right triangle.
Conclusion
In conclusion, a triangle with angles in the ratio 5:3:2 is a right triangle, specifically characterized by one angle measuring 90 degrees, making it a fundamental shape in geometry with unique properties.
To determine the angles of a triangle with a ratio of 5:3:2, we first represent the angles as 5x, 3x, and 2x, where x is a common multiplier.
Calculating the Angles
- The sum of the angles in any triangle is always 180 degrees.
- Therefore, we set up the equation:
5x + 3x + 2x = 180
- This simplifies to:
10x = 180
- Solving for x gives:
x = 18
Now, we can find the angles:
- Angle 1: 5x = 5 * 18 = 90 degrees
- Angle 2: 3x = 3 * 18 = 54 degrees
- Angle 3: 2x = 2 * 18 = 36 degrees
Identifying the Type of Triangle
- The triangle has angles of 90 degrees, 54 degrees, and 36 degrees.
- Since one angle is exactly 90 degrees, this indicates that the triangle is a right triangle.
Conclusion
In conclusion, a triangle with angles in the ratio 5:3:2 is a right triangle, specifically characterized by one angle measuring 90 degrees, making it a fundamental shape in geometry with unique properties.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Top Courses for UPSCView all
If the angles of a triangle are in the ratio 5:3:2, then the triangle could be?
Question Description
If the angles of a triangle are in the ratio 5:3:2, then the triangle could be? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If the angles of a triangle are in the ratio 5:3:2, then the triangle could be? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the angles of a triangle are in the ratio 5:3:2, then the triangle could be?.
If the angles of a triangle are in the ratio 5:3:2, then the triangle could be? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If the angles of a triangle are in the ratio 5:3:2, then the triangle could be? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the angles of a triangle are in the ratio 5:3:2, then the triangle could be?.
Solutions for If the angles of a triangle are in the ratio 5:3:2, then the triangle could be? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of If the angles of a triangle are in the ratio 5:3:2, then the triangle could be? defined & explained in the simplest way possible. Besides giving the explanation of
If the angles of a triangle are in the ratio 5:3:2, then the triangle could be?, a detailed solution for If the angles of a triangle are in the ratio 5:3:2, then the triangle could be? has been provided alongside types of If the angles of a triangle are in the ratio 5:3:2, then the triangle could be? theory, EduRev gives you an
ample number of questions to practice If the angles of a triangle are in the ratio 5:3:2, then the triangle could be? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup