What type of set is the set of triangles having four sides?
Answer and explanation
Correct answer: An empty set
By definition, a triangle is a polygon with exactly three sides. A figure with four sides is a quadrilateral, not a triangle. Consequently, no geometric object can satisfy both conditions “is a triangle” and “has four sides.” Since the defining condition produces no elements, the set of such triangles is empty, denoted by ∅.
Frequently asked questions
What is the correct answer to this question?
An empty set
Why is this the correct answer?
By definition, a triangle is a polygon with exactly three sides. A figure with four sides is a quadrilateral, not a triangle. Consequently, no geometric object can satisfy both conditions “is a triangle” and “has four sides.” Since the defining condition produces no elements, the set of such triangles is empty, denoted by ∅.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
