Read the given statements carefully and select the correct option.Stat...
The sum of the angles in a triangle is always 180 degrees, which makes Statement I true. A square has 4 sides of equal length, not different lengths, making Statement II false.
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Read the given statements carefully and select the correct option.Stat...
Explanation of the Statements
In evaluating the two statements, we need to assess their accuracy based on basic geometry principles.
Statement I: The sum of the angles in a triangle is always 180 degrees.
- This statement is true.
- In any triangle, regardless of the type (scalene, isosceles, or equilateral), the interior angles always add up to 180 degrees. This is a fundamental property in Euclidean geometry.
Statement II: A square has 4 sides of different lengths.
- This statement is false.
- A square is defined as a quadrilateral with all four sides of equal length and all interior angles measuring 90 degrees. Therefore, it cannot have sides of different lengths.
Conclusion
- Given that Statement I is true and Statement II is false, the correct answer is option 'C': "Statement I is true but Statement II is false."
Understanding these fundamental properties of shapes helps in grasping more complex geometrical concepts later on.