As you correctly observe, the question asks whether something that doesn't exist has certain properties. This is related to the more general problem of talking about non-existent things. One prominent solution to this problem is given by Russell's theory of descriptions.

Allow me to use a different example:

Is the current king of France bald?

As there's no such person, would answers to this question be true or false?

One way to think about this is to say that a 'yes' answer amounts to the claim:

The king of France is bald.

And a 'no' answer amounts to the claim:

The king of France is not bald.

Russell's solution is to construe such apparently referring expressions as existence claims. That is, the above turn into:

There is something which is a king of France, and it is the only such thing, and it is bald.

 

There is something which is a king of France, and it is the only such thing, and it is not bald.

Construed thus, both of these are false, since both of them claim that something exists ('a king of France') while in fact there is no such thing.

Accordingly, any answer to your example question would be rephrased, e.g. as:

There is something which is a triangle with sides 1 cm, 1 cm and 10 cm ... and the sum of its angles is X.

For any X, that statement is false.

As you correctly observe, the question asks whether something that doesn't exist has certain properties. This is related to the more general problem of talking about non-existent things. One prominent solution to this problem is given by Russell's theory of descriptions.

Allow me to use a different example:

Is the current king of France bald?

As there's no such person, would answers to this question be true or false?

One way to think about this is to say that a 'yes' answer amounts to the claim:

The king of France is bald.

And a 'no' answer amounts to the claim:

The king of France is not bald.

Russell's solution is to construe such apparently referring expressions as existence claims. That is, the above turn into:

There is something which is a king of France, and it is the only such thing, and it is bald.

There is something which is a king of France, and it is the only such thing, and it is not bald.

Construed thus, both of these are false, since both of them claim that something exists ('a king of France') while in fact there is no such thing.

Accordingly, any answer to your example question would be rephrased, e.g. as:

There is something which is a triangle with sides 1 cm, 1 cm and 10 cm ... and the sum of its angles is X.

For any X, that statement is false.

As you correctly observe, the questions asks whether something that doesn't exist has certain properties. This is related to the more general problem of talking about non-existent things. One prominent solution to this problem is given by Russell's theory of descriptions.

Allow me to use a different example:

Is the current king of France bald?

As there's no such person, would answers to this question be true or false?

One way to think about this is to say that a 'yes' answer amounts to the claim:

The king of France is bald.

And a 'no' answer amounts to the claim:

The king of France is not bald.

Russell's solution is to construe such apparently referring expressions as existence claims. That is, the above turn into:

There is something which is a king of France, and it is the only such thing, and it is bald.

There is something which is a king of France, and it is the only such thing, and it is not bald.

Construed thus, both of these are false, since both of them claim that something exists ('a king of France') while in fact there is no such thing.

Accordingly, any answer to your example question would be rephrased, e.g. as:

There is something which is a triangle with sides 1 cm, 1 cm and 10 cm ... and the sum of its angles is X.

For any X, that statement is false.

As you correctly observe, the question asks whether something that doesn't exist has certain properties. This is related to the more general problem of talking about non-existent things. One prominent solution to this problem is given by Russell's theory of descriptions.

Allow me to use a different example:

Is the current king of France bald?

As there's no such person, would answers to this question be true or false?

One way to think about this is to say that a 'yes' answer amounts to the claim:

The king of France is bald.

And a 'no' answer amounts to the claim:

The king of France is not bald.

Russell's solution is to construe such apparently referring expressions as existence claims. That is, the above turn into:

There is something which is a king of France, and it is the only such thing, and it is bald.

There is something which is a king of France, and it is the only such thing, and it is not bald.

Construed thus, both of these are false, since both of them claim that something exists ('a king of France') while in fact there is no such thing.

Accordingly, any answer to your example question would be rephrased, e.g. as:

There is something which is a triangle with sides 1 cm, 1 cm and 10 cm ... and the sum of its angles is X.

For any X, that statement is false.