Answer:
x = 97
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 for the missing side length.
Step 2: Identify Variables
Leg a = 72
Leg b = 65
Hypotenuse c = x
Step 3: Solve for x
- Substitute [PT]: 72² + 65² = x²
- Exponents: 5184 + 4225 = x²
- Add: 9409 = x²
- Isolate x: 97 = x
- Rewrite: x = 97