Answer:
x = 4√5
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
- a is one leg
- b is another leg
- c is hypotenuse
Explanation:
Step 1: Identify Variables
a = 19
b = x
c = 21
Step 2: Solve for x
- Substitute [PT]: 19² + x² = 21²
- Isolate x term: x² = 21² - 19²
- Exponents: x² = 441 - 361
- Subtract: x² = 80
- Isolate x: x = √80
- Simplify: x = 4√5