CA Foundation Exam > CA Foundation Questions > The angles of a triangle are in ratio 2 : 7 :...
Start Learning for Free
The angles of a triangle are in ratio 2 : 7 : 11. The angles are
- a)(20°, 70°, 90°)
- b)(30°, 70°, 80°)
- c)(18 ° , 63° , 99°)
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The angles of a triangle are in ratio 2 : 7 : 11. The angles area)(20&...
Ratio of angles = 2 : 7 : 11
Let the angles of a triangle be 2x, 7x, 11x.
We know, sum of three angles of a trangle is 180 degree.
i.e 2x + 7x + 11x = 180
=> 20x = 180
=> x = 9
The angles are :
2(9), 7(9), 11(9) = 18 degrees, 63 degrees, 99 degrees.
Most Upvoted Answer
The angles of a triangle are in ratio 2 : 7 : 11. The angles area)(20&...
Let the angles of the triangle be 2x, 7x, and 11x.
We know that the sum of the angles in a triangle is 180 degrees:
2x + 7x + 11x = 180
Simplifying this equation:
20x = 180
x = 9
So the angles of the triangle are:
2x = 2(9) = 18 degrees
7x = 7(9) = 63 degrees
11x = 11(9) = 99 degrees
To find the area of the triangle, we can use the formula:
Area = (1/2) * base * height
Let's choose the side with length 11x as the base. We can draw an altitude from the opposite vertex to this side, which will divide the triangle into two right triangles.
The altitude will be the height of the triangle. To find the altitude, we can use the Pythagorean theorem:
altitude^2 + (2x)^2 = (7x)^2
altitude^2 + 4x^2 = 49x^2
altitude^2 = 45x^2
altitude = 3x * sqrt(5)
Now we can plug in the values for the base and height:
Area = (1/2) * 11x * (3x * sqrt(5))
Area = 16.5x^2 * sqrt(5)
Area = 16.5(9)^2 * sqrt(5)
Area = 2227.5 * sqrt(5)
So the area of the triangle is approximately 497.7 square units.
We know that the sum of the angles in a triangle is 180 degrees:
2x + 7x + 11x = 180
Simplifying this equation:
20x = 180
x = 9
So the angles of the triangle are:
2x = 2(9) = 18 degrees
7x = 7(9) = 63 degrees
11x = 11(9) = 99 degrees
To find the area of the triangle, we can use the formula:
Area = (1/2) * base * height
Let's choose the side with length 11x as the base. We can draw an altitude from the opposite vertex to this side, which will divide the triangle into two right triangles.
The altitude will be the height of the triangle. To find the altitude, we can use the Pythagorean theorem:
altitude^2 + (2x)^2 = (7x)^2
altitude^2 + 4x^2 = 49x^2
altitude^2 = 45x^2
altitude = 3x * sqrt(5)
Now we can plug in the values for the base and height:
Area = (1/2) * 11x * (3x * sqrt(5))
Area = 16.5x^2 * sqrt(5)
Area = 16.5(9)^2 * sqrt(5)
Area = 2227.5 * sqrt(5)
So the area of the triangle is approximately 497.7 square units.
Free Test
FREE
| Start Free Test |
Community Answer
The angles of a triangle are in ratio 2 : 7 : 11. The angles area)(20&...
It can be solve in very short steps divide all the angles by 9 and check that which option give the ratio of 2:7:11 (but this technique can only be used in competitive exams)
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
The angles of a triangle are in ratio 2 : 7 : 11. The angles area)(20°, 70°, 90°)b)(30°, 70°, 80°)c)(18 ° , 63° , 99°)d)none of theseCorrect answer is option 'C'. Can you explain this answer?
Question Description
The angles of a triangle are in ratio 2 : 7 : 11. The angles area)(20°, 70°, 90°)b)(30°, 70°, 80°)c)(18 ° , 63° , 99°)d)none of theseCorrect answer is option 'C'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The angles of a triangle are in ratio 2 : 7 : 11. The angles area)(20°, 70°, 90°)b)(30°, 70°, 80°)c)(18 ° , 63° , 99°)d)none of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The angles of a triangle are in ratio 2 : 7 : 11. The angles area)(20°, 70°, 90°)b)(30°, 70°, 80°)c)(18 ° , 63° , 99°)d)none of theseCorrect answer is option 'C'. Can you explain this answer?.
The angles of a triangle are in ratio 2 : 7 : 11. The angles area)(20°, 70°, 90°)b)(30°, 70°, 80°)c)(18 ° , 63° , 99°)d)none of theseCorrect answer is option 'C'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The angles of a triangle are in ratio 2 : 7 : 11. The angles area)(20°, 70°, 90°)b)(30°, 70°, 80°)c)(18 ° , 63° , 99°)d)none of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The angles of a triangle are in ratio 2 : 7 : 11. The angles area)(20°, 70°, 90°)b)(30°, 70°, 80°)c)(18 ° , 63° , 99°)d)none of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The angles of a triangle are in ratio 2 : 7 : 11. The angles area)(20°, 70°, 90°)b)(30°, 70°, 80°)c)(18 ° , 63° , 99°)d)none of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of The angles of a triangle are in ratio 2 : 7 : 11. The angles area)(20°, 70°, 90°)b)(30°, 70°, 80°)c)(18 ° , 63° , 99°)d)none of theseCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The angles of a triangle are in ratio 2 : 7 : 11. The angles area)(20°, 70°, 90°)b)(30°, 70°, 80°)c)(18 ° , 63° , 99°)d)none of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The angles of a triangle are in ratio 2 : 7 : 11. The angles area)(20°, 70°, 90°)b)(30°, 70°, 80°)c)(18 ° , 63° , 99°)d)none of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The angles of a triangle are in ratio 2 : 7 : 11. The angles area)(20°, 70°, 90°)b)(30°, 70°, 80°)c)(18 ° , 63° , 99°)d)none of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The angles of a triangle are in ratio 2 : 7 : 11. The angles area)(20°, 70°, 90°)b)(30°, 70°, 80°)c)(18 ° , 63° , 99°)d)none of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup