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Which one of the following sets of internal angles (degree) of a triangle show well condition triangle?
- a)20, 90, 70
- b)25, 45,110
- c)40, 125, 15
- d)35, 80, 65
Correct answer is option 'D'. Can you explain this answer?
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Which one of the following sets of internal angles (degree) of a trian...
A triangle is stated to be a well-conditioned triangle when no angle in it is less than 30o or greater than 120o.
A triangle in which any angle of the triangle is less than 30o or greater than 120o is known as ILL conditioned triangle.
Option 4 alone fulfil the condition of well condition triangle.
Most Upvoted Answer
Which one of the following sets of internal angles (degree) of a trian...
Well-conditioned Triangle:
A well-conditioned triangle refers to a triangle where the sum of its internal angles is exactly 180 degrees. In other words, the three angles of a well-conditioned triangle will add up to 180 degrees.
Explanation:
Let's analyze each given set of internal angles to determine if they represent a well-conditioned triangle.
a) 20, 90, 70:
The sum of 20, 90, and 70 is 180 degrees. Therefore, this set represents a well-conditioned triangle.
b) 25, 45, 110:
The sum of 25, 45, and 110 is 180 degrees. Therefore, this set represents a well-conditioned triangle.
c) 40, 125, 15:
The sum of 40, 125, and 15 is 180 degrees. Therefore, this set represents a well-conditioned triangle.
d) 35, 80, 65:
The sum of 35, 80, and 65 is 180 degrees. Therefore, this set represents a well-conditioned triangle.
Conclusion:
All the given sets of internal angles represent well-conditioned triangles as the sum of their internal angles is equal to 180 degrees. However, the correct answer according to the options given is option 'D' (35, 80, 65).
A well-conditioned triangle refers to a triangle where the sum of its internal angles is exactly 180 degrees. In other words, the three angles of a well-conditioned triangle will add up to 180 degrees.
Explanation:
Let's analyze each given set of internal angles to determine if they represent a well-conditioned triangle.
a) 20, 90, 70:
The sum of 20, 90, and 70 is 180 degrees. Therefore, this set represents a well-conditioned triangle.
b) 25, 45, 110:
The sum of 25, 45, and 110 is 180 degrees. Therefore, this set represents a well-conditioned triangle.
c) 40, 125, 15:
The sum of 40, 125, and 15 is 180 degrees. Therefore, this set represents a well-conditioned triangle.
d) 35, 80, 65:
The sum of 35, 80, and 65 is 180 degrees. Therefore, this set represents a well-conditioned triangle.
Conclusion:
All the given sets of internal angles represent well-conditioned triangles as the sum of their internal angles is equal to 180 degrees. However, the correct answer according to the options given is option 'D' (35, 80, 65).
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Which one of the following sets of internal angles (degree) of a triangle show well condition triangle?a)20, 90, 70b)25, 45,110c)40, 125, 15d)35, 80, 65Correct answer is option 'D'. Can you explain this answer?
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