Answer:
x ≈ 9.4
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 are given a right triangle. We can use PT to find the missing length.
Step 2: Identify Variables
Leg a = 9
Leg b = x
Hypotenuse c = 13
Step 3: Solve for x
- Substitute [PT]: 9² + x² = 13²
- Isolate x term: x² = 13² - 9²
- Exponents: x² = 169 - 81
- Subtract: x² = 88
- Isolate x: x = 2√22
- Evaluate: x = 9.38083
- Round: x ≈ 9.4