Answer:
x = √47
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: Define
We have a right triangle. We can use PT to solve for the missing side length.
Step 2: Identify Variables
Leg a = 5
Leg b = x
Hypotenuse c = √72
Step 3: Solve for x
- Substitute [PT]: 5² + x² = (√72)²
- Exponents: 25 + x² = 72
- Isolate x term: x² = 47
- Isolate x: x = √47