Answer:
x = 6√7
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 solve the missing length.
Step 2: Identify Variables
Leg a = √27
Leg b = 15
Hypotenuse c = x
Step 3: Solve for x
- Substitute [PT]: (√27)² + 15² = x²
- Exponents: 27 + 225 = x²
- Add: 252 = x²
- Isolate x: 6√7 = x
- Rewrite: x = 6√7