Question

What is the unknown side length

Answer 1

x = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

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 Variables

Leg a = x

Leg b = 12

Hypotenuse c = 13

Step 2: Solve for x

1. Substitute in variables [Pythagorean Theorem]: x² + 12² = 13²
2. Evaluate exponents: x² + 144 = 169
3. [Subtraction Property of Equality] Subtract 144 on both sides: x² = 25
4. [Equality Property] Square root both sides: x = 5