Answer:
37
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse
Explanation:
Step 1: Identify
Leg a = 35
Leg b = 12
Hypotenuse c
Step 2: Solve for c
- Substitute in variables [Pythagorean Theorem]: 35² + 12² = c²
- [Hypotenuse] Rewrite: c² = 12² + 35²
- [Hypotenuse] Evaluate exponents: c² = 144 + 1225
- [Hypotenuse] Add: c² = 1369
- [Hypotenuse] [Equality Property] Square root both sides: c = 37