Question

if a is (x:x is an isosceles triangle) and b is ( x:x an equilateral triangle) then a intersection b will be

Answer 1

It is clear that
Isoceles triangle has 2 equal sides
Equilateral triangle has 3 equal sides.

Then each element of B is also an element of A.

Hence B is a proper subset of A.

Therefore

A intersection B = B

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