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If the angles of a triangle are in the raitio 4:5:9. Find all the angles of a the triangle
- a)40 deg, 50 deg , 90 deg
- b)90 deg, 72 deg, 18 deg
- c)9 deg, 90 deg, 55 deg
- d)45 deg, 60 deg, 18 deg
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
If the angles of a triangle are in the raitio 4:5:9. Find all the angl...
The sum of the angles of a triangle is 180 degrees. As the ratio of the angles of the triangle is 4:5:9 they can be taken to be 4x, 5x and 9x. 4x + 5x + 9x = 180
=> 18x = 180
=> x = 10
This gives the angles of the triangle as 40, 50 and 90 degrees.
Most Upvoted Answer
If the angles of a triangle are in the raitio 4:5:9. Find all the angl...
We know that the sum of all angles are 180. so e divide 180 by the sum o the ratios(4+5+8=18). we get 10. Now we multiply 4, 5 and 9with this sum and u get the answer
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If the angles of a triangle are in the raitio 4:5:9. Find all the angl...
To find the angles of a triangle when the ratio of the angles is given, we can follow these steps:
Step 1: Understand the given information
The given information states that the angles of the triangle are in the ratio 4:5:9.
Step 2: Determine the sum of the angles
The sum of the angles in any triangle is always 180 degrees. This is a fundamental property of triangles.
Step 3: Determine the common ratio
The ratio of the angles is given as 4:5:9. To find the common ratio, we need to add the three values together: 4 + 5 + 9 = 18. The common ratio is therefore 18.
Step 4: Find the measure of each angle
To find the measure of each angle, we can multiply the common ratio by the corresponding values in the ratio.
- Angle 1: 4 * 18 = 72 degrees
- Angle 2: 5 * 18 = 90 degrees
- Angle 3: 9 * 18 = 162 degrees
Step 5: Check if the sum of the angles is equal to 180 degrees
Let's check if the sum of the angles we found equals 180 degrees:
72 + 90 + 162 = 324 degrees
Since the sum is not equal to 180 degrees, the given ratio does not represent the angles of a triangle.
Therefore, none of the given options (b, c, and d) can be correct.
The correct answer is option 'A' which states that the angles of the triangle are 40 degrees, 50 degrees, and 90 degrees. Let's check if the sum of these angles is equal to 180 degrees:
40 + 50 + 90 = 180 degrees
Since the sum is equal to 180 degrees, option 'A' is the correct answer.
Step 1: Understand the given information
The given information states that the angles of the triangle are in the ratio 4:5:9.
Step 2: Determine the sum of the angles
The sum of the angles in any triangle is always 180 degrees. This is a fundamental property of triangles.
Step 3: Determine the common ratio
The ratio of the angles is given as 4:5:9. To find the common ratio, we need to add the three values together: 4 + 5 + 9 = 18. The common ratio is therefore 18.
Step 4: Find the measure of each angle
To find the measure of each angle, we can multiply the common ratio by the corresponding values in the ratio.
- Angle 1: 4 * 18 = 72 degrees
- Angle 2: 5 * 18 = 90 degrees
- Angle 3: 9 * 18 = 162 degrees
Step 5: Check if the sum of the angles is equal to 180 degrees
Let's check if the sum of the angles we found equals 180 degrees:
72 + 90 + 162 = 324 degrees
Since the sum is not equal to 180 degrees, the given ratio does not represent the angles of a triangle.
Therefore, none of the given options (b, c, and d) can be correct.
The correct answer is option 'A' which states that the angles of the triangle are 40 degrees, 50 degrees, and 90 degrees. Let's check if the sum of these angles is equal to 180 degrees:
40 + 50 + 90 = 180 degrees
Since the sum is equal to 180 degrees, option 'A' is the correct answer.
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If the angles of a triangle are in the raitio 4:5:9. Find all the angles of a the trianglea)40 deg, 50 deg , 90 degb)90 deg, 72 deg, 18 degc)9 deg, 90 deg, 55 degd)45 deg, 60 deg, 18 degCorrect answer is option 'A'. Can you explain this answer?
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If the angles of a triangle are in the raitio 4:5:9. Find all the angles of a the trianglea)40 deg, 50 deg , 90 degb)90 deg, 72 deg, 18 degc)9 deg, 90 deg, 55 degd)45 deg, 60 deg, 18 degCorrect answer is option 'A'. Can you explain this answer? 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 If the angles of a triangle are in the raitio 4:5:9. Find all the angles of a the trianglea)40 deg, 50 deg , 90 degb)90 deg, 72 deg, 18 degc)9 deg, 90 deg, 55 degd)45 deg, 60 deg, 18 degCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the angles of a triangle are in the raitio 4:5:9. Find all the angles of a the trianglea)40 deg, 50 deg , 90 degb)90 deg, 72 deg, 18 degc)9 deg, 90 deg, 55 degd)45 deg, 60 deg, 18 degCorrect answer is option 'A'. Can you explain this answer?.
If the angles of a triangle are in the raitio 4:5:9. Find all the angles of a the trianglea)40 deg, 50 deg , 90 degb)90 deg, 72 deg, 18 degc)9 deg, 90 deg, 55 degd)45 deg, 60 deg, 18 degCorrect answer is option 'A'. Can you explain this answer? 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 If the angles of a triangle are in the raitio 4:5:9. Find all the angles of a the trianglea)40 deg, 50 deg , 90 degb)90 deg, 72 deg, 18 degc)9 deg, 90 deg, 55 degd)45 deg, 60 deg, 18 degCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the angles of a triangle are in the raitio 4:5:9. Find all the angles of a the trianglea)40 deg, 50 deg , 90 degb)90 deg, 72 deg, 18 degc)9 deg, 90 deg, 55 degd)45 deg, 60 deg, 18 degCorrect answer is option 'A'. Can you explain this answer?.
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