Answer:
16
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangle Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use PT to solve for the missing length.
<u>Step 2: Identify Variables</u>
Leg <em>a</em> = 12
Leg <em>b</em> = <em>x</em>
Hypotenuse <em>c</em> = 20
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute: 12² + x² = 20²
- Isolate <em>x</em> term: x² = 20² - 12²
- Exponents: x² = 400 - 144
- Subtract: x² = 256
- Isolate <em>x</em>: x = 16
