Question

Find the length of the missing side.

Answer 1

x = 10

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
• Subtract Property of Equality

Geometry

[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 = 8

Leg b = 6

Hypotenuse c = x

Step 2: Solve for x

1. Substitute [PT]: 8² + 6² = x²
2. Exponents: 64 + 36 = x²
3. Add: 100 = x²
4. Isolate x: 10 = x
5. Rewrite: x = 10