Question

Set A={x: x is isosceles triangle} and B={x:x is an equilateral triangle} then find A intersection B

Answer 1

A intersection B is a set of all equilateral triangles as all equilateral triangles are isosceles triangles also

Answer 2

Answer:

A ∩ B = B

Step-by-step explanation:

A = {x : x  is an isosceles triangle}

B = {x : x is an equilateral triangle}

Let us first see the definitions of the two terms :

An Isosceles Triangle is a triangle that has two sides equal.

An Equilateral Triangle is a triangle with all three sides equal.

Now, since all equilateral triangles have three sides congruent (i.e. equal) means they also have two sides equal.

This tells us that All equilateral triangles are isosceles triangles as well but the converse may not be true.

This means that Set B is subset of Set A.

Since, B ∈ A

⇒ A ∩ B = B