Which of the following sets of numbers could be the side lengths of a right - triangle?
Options
A
2, 3, 4
B
5, 12, 13
C
4, 5, 6
D
7, 8, 9
Answer & Analysis
Answer
B
Analysis
Question Analysis:
This question assesses the ability to use the Pythagorean Theorem to determine if a set of numbers can represent the side lengths of a right - triangle.
The main focus is on checking if the sum of the squares of the two smaller numbers equals the square of the largest number.
Key Concept Explanation:
For a set of three positive numbers , , and (where is the largest), if , then they can be the side lengths of a right - triangle.
Step - by - Step Solution:
- For option A: , and . Since , this is not a right - triangle.
- For option B: , and
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