Answer:
x = √145
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Trigonometry
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Explanation:
Step 1: Identify Variables
Leg a = 12
Leg b = x
Hypotenuse c = 17
Step 2: Solve for x
- Substitute [PT]: 12² + x² = 17²
- Isolate x term: x² = 17² - 12²
- Exponents: x² = 289 - 144
- Subtract: x² = 145
- Isolate x: x = √145