A right triangle has sides of x, x + 1, and x + 2. What is the value of x?
Options
A
3
B
5
C
6
D
7
Answer & Analysis
Answer
A
Analysis
Question Analysis:
This is an algebraic Pythagorean Theorem problem requiring equation setup and solving for .
The main focus is on solving for an unknown side length in a right triangle.
Key Concept Explanation:
The Pythagorean Theorem applies:
where , , and are the sides.
Step-by-Step Solution:
1. Identify given values:
- Smallest side:
- Middle side:
- Hypotenuse:
2. Apply the Pythagorean Theorem:
3. Expand terms:
4. Simplify and solve for
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