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.