Class 10 Exam > Class 10 Questions > If triangle ABC is right angled at C , then t...
Start Learning for Free
If triangle ABC is right angled at C , then the valie of cas(A+B) is?
Most Upvoted Answer
If triangle ABC is right angled at C , then the valie of cas(A+B) is?
Understanding Triangle ABC
In a right-angled triangle like ABC, where the right angle is at C, we can analyze the angles A and B. In any triangle, the sum of the interior angles is always 180 degrees.
Sum of Angles in Triangle ABC
- Since triangle ABC is right-angled at C:
- Angle C = 90 degrees
- Therefore, Angle A + Angle B = 90 degrees
Using the Cosine of the Sum of Angles
Now, we want to find the value of cos(A + B).
- Since A + B = 90 degrees, we can use the cosine identity:
- cos(A + B) = cos(90 degrees)
Value of cos(90 degrees)
- The value of cos(90 degrees) is 0.
Conclusion
- Therefore, in triangle ABC, where C is the right angle, the value of cos(A + B) is:
- cos(A + B) = 0
This conclusion aligns with the properties of right-angled triangles, emphasizing that the angles A and B are complementary.
In a right-angled triangle like ABC, where the right angle is at C, we can analyze the angles A and B. In any triangle, the sum of the interior angles is always 180 degrees.
Sum of Angles in Triangle ABC
- Since triangle ABC is right-angled at C:
- Angle C = 90 degrees
- Therefore, Angle A + Angle B = 90 degrees
Using the Cosine of the Sum of Angles
Now, we want to find the value of cos(A + B).
- Since A + B = 90 degrees, we can use the cosine identity:
- cos(A + B) = cos(90 degrees)
Value of cos(90 degrees)
- The value of cos(90 degrees) is 0.
Conclusion
- Therefore, in triangle ABC, where C is the right angle, the value of cos(A + B) is:
- cos(A + B) = 0
This conclusion aligns with the properties of right-angled triangles, emphasizing that the angles A and B are complementary.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
If triangle ABC is right angled at C , then the valie of cas(A+B) is?
Question Description
If triangle ABC is right angled at C , then the valie of cas(A+B) is? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If triangle ABC is right angled at C , then the valie of cas(A+B) is? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If triangle ABC is right angled at C , then the valie of cas(A+B) is?.
If triangle ABC is right angled at C , then the valie of cas(A+B) is? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If triangle ABC is right angled at C , then the valie of cas(A+B) is? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If triangle ABC is right angled at C , then the valie of cas(A+B) is?.
Solutions for If triangle ABC is right angled at C , then the valie of cas(A+B) is? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of If triangle ABC is right angled at C , then the valie of cas(A+B) is? defined & explained in the simplest way possible. Besides giving the explanation of
If triangle ABC is right angled at C , then the valie of cas(A+B) is?, a detailed solution for If triangle ABC is right angled at C , then the valie of cas(A+B) is? has been provided alongside types of If triangle ABC is right angled at C , then the valie of cas(A+B) is? theory, EduRev gives you an
ample number of questions to practice If triangle ABC is right angled at C , then the valie of cas(A+B) is? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 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