Answer:
2√23
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. Therefore, we can use PT to solve for the missing length.
Step 2: Identify Variables
Leg a = √88
Leg b = 2
Hypotenuse c = x
Step 3: Solve for x
- Substitute: (√88)² + 2² = x²
- Exponents: 88 + 4 = x²
- Add: 92 = x²
- Isolate x: √92 = x
- Simplify: 2√23 = x
- Rewrite: x = 2√23