Determine if 7, 8, and 13 can be the lengths of the sides of a triangle. if yes, classify the triangle.. a.. yes, it is an acute triangle.. b.. yes, it is an obtuse triangle.. c.. yes, it is a right triangle.. d.. no, it cannot be a triangle.

Yes, it is an obtuse triangle.

An obtuse triangle is a triangle in which one of the angles is an obtuse angle. (Obviously, only a single angle in a triangle can be obtuse or it wouldn't be a triangle.)

The correct answer between all the choices given is the second choice or letter B. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

The correct answer is B.

Step-by-step explanation:

In order to determine if three given lengths can be the sides of a triangle, we should use the triangle inequality. Recall that the triangle inequality tell us that the sum of any two sides of a triangle is larger that the third side.

Then, we must try all possible sums of two lengths and compare with the other one. So,

As the triangle inequality holds, we can affirm that it is a triangle. Then, we eliminate D. Moreover, it cannot be a right triangle because Pythagoras theorem does not hold and 7²+8²=113 < 13²=169, then the triangle is obtuse.

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights

b is the right answer