# Math Help - Problem relating to Venn Diagram.

1. ## Problem relating to Venn Diagram.

The universal set E is the set of all triangles. Given that
A = { isosceles triangle }
B = { equilateral triangle }
C = { obtuse -angled triangle }

Illustrate the sets A, B and C within a Venn diagram.

Thanks.

2. Originally Posted by Kaleem Qureshi
The universal set E is the set of all triangles. Given that
A = { isosceles triangle }
B = { equilateral triangle }
C = { obtuse -angled triangle }

Illustrate the sets A, B and C within a Venn diagram.

Thanks.
What have you done?

Are equilateral triangles isosceles?
Are equilaterlal triangles obtuse angled triangles?
Are all isosceles triangles obtuse angles triangles?

RonL

3. Hello Guys,

Captain RonL sir, you are right, these triangles are not equavelent or corresponds to each other but the question remains stand still, that if we need to show them through a Venn Diagram, then how do we show them.

4. Originally Posted by Kaleem Qureshi
Hello Guys,

Captain RonL sir, you are right, these triangles are not equavelent or corresponds to each other but the question remains stand still, that if we need to show them through a Venn Diagram, then how do we show them.
What is a Venn diagram? You start with labeling what sets intersect others. In this case you have CaptainBlack's questions to answer. Once you've done this then you know what sets intersect and can sketch your diagram from that.

-Dan

5. Originally Posted by Kaleem Qureshi
The universal set E is the set of all triangles. Given that
A = { isosceles triangle }
B = { equilateral triangle }
C = { obtuse -angled triangle }

Illustrate the sets A, B and C within a Venn diagram.

Thanks.
one more hint to take it home, you can view these as answers to CaptainBlack's questions.

All equilateral triangles are isosceles, so we have $B \subset A$, i use $\subset$ here to mean a proper subset.

Some (but not all) obtuse triangles are isosceles, so we have that $A \cap C \ne \emptyset$ but there is at least one element, call it, $x$ such that $x \in C$ but $x \not \in A$

No equilateral triangle is obtuse, so we have $B \cap C = \emptyset$

Now can you draw a Venn Diagram? Recall, we represent the universal set by a large rectangle, in which our sets are contained. our other sets, we represent as circles that may or may not overlap.

6. See attachment, but I warn you there may be a deliberate error, so check it very carefully.

RonL

7. Hello Guys,

Thanks Captain, I was almost near to the solution.
As my findinds are :
B = An equilateral triangle has 3 equal sides.
A = An isosceles triangle has 2 equal sides.
C All equilateral triangles are isosceles.

So, Set B is entirely in set A. Set B and C dont overlap. An isosles trinagle can be obtuse. So set A and C overlap each other.

thanks.

8. ## very nice

this information was very good.

9. ## help me

hello, i'm new at mathhelpform ....i want to send my problems as well as want to communicate with other students but i don't know how can i do this sooooo please help me in this respect.......if anyone can help me plz reply me as soon as possible....thanks a lot

10. Originally Posted by MS BATOOL
hello, i'm new at mathhelpform ....i want to send my problems as well as want to communicate with other students but i don't know how can i do this sooooo please help me in this respect.......if anyone can help me plz reply me as soon as possible....thanks a lot
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