Determine the number of triangles with the given parts.
-a = 4, b = 8, c = 11
A) 0
B) 1
C) 2
D) 3

Question

Quizplus · Accepted Answer

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side. For the given sides a = 4, b = 8, c = 11, we check the conditions: 4 + 8 > 11, 4 + 11 > 8, and 8 + 11 > 4. All conditions are satisfied, so exactly one triangle can be formed with these side lengths.

Determine the Number of Triangles with the Given Parts