Geometry

Question Analysis

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

 

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 forms 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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