40.5k views
0 votes
How many non-congruent scalene triangles have integer side lengths that are all at 6?

A) 0
B) 1
C) 2
D) 3

1 Answer

4 votes

Final answer:

There are zero non-congruent scalene triangles that have integer side lengths of 6 units each because a scalene triangle must have three sides of different lengths.

Step-by-step explanation:

We have been asked to find the number of non-congruent scalene triangles with integer side lengths, where each side length is 6 units. A scalene triangle is one where all three sides have different lengths. However, if all sides are 6 units, then by definition the triangle is not scalene; instead, it would be an equilateral triangle because all sides are equal.

Since we are constrained to have all side lengths be exactly 6, and a scalene triangle requires that all side lengths be different, there are zero possibilities for a scalene triangle with all sides being 6 units. Thus, the answer to the question is:

A) 0

User Chris Kuklewicz
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories