Geometry

Question Analysis

The main focus is to use the Pythagorean Theorem Converse to identify the set of side lengths that does not form a right - triangle.

Key Concept Explanation

The Pythagorean Theorem Converse: For a triangle with side lengths , , and (where is the longest side), if , the triangle is a right - triangle; if ,  it is not.

Step - by - Step Solution

A. For set :

 Calculate : .

 Calculate : . Since , it forms a right - triangle.

B. For set :

 Calculate : .

 Calculate : . Since , it forms a right - triangle.

C. For set