Geometry

Question Analysis

The main focus is to use the Pythagorean Theorem Converse to determine which set of side lengths can form a right triangle. We need to check if for each set, the sum of the squares of the two shorter sides equals the square of the longest side.

 

Key Concept Explanation

The Pythagorean Theorem Converse states that for a triangle with side lengths , , and (where is the longest side), if , then the triangle is a right triangle.

 

Step - by - Step Solution

A. For the set :

 Calculate : .

 Calculate : . Since , this set does not form a right triangle.

 

B. For the set :

 Calculate : .

 Calculate : . Since , this set does not form a right triangle.

 

C. For the set :

 Calculate :

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