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13) Which Set of Numbers Represents the Lengths of the Sides of a Right Triangle? A) 4,5,6 C) 2,3,6 B) 5,12,13 D) 5,5,10

Question

13) Which set of numbers represents the lengths of the sides of a right triangle? A) 4,5,6 C) 2,3,6 B) 5,12,13 D) 5,5,10

Solution

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Answer

### B.

Explanation

## Step 1: Pythagorean Theorem Check for Option A### We check if . . Thus, option A is not a right triangle.## Step 2: Pythagorean Theorem Check for Option B### We check if . . Thus, option B represents a right triangle.## Step 3: Pythagorean Theorem Check for Option C### We check if . . Thus, option C is not a right triangle.## Step 4: Pythagorean Theorem Check for Option D### We check if . . Thus, option D is not a right triangle.