Question

1) Find the missing side. Give your answer in simplest radical form.

Answer 1

Answer:

x = 4√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

Step-by-step explanation:

Step 1: Define

Leg a = 8

Leg b = 4

Hypotenuse c = x

Step 2: Solve for x

1. Substitute in variables [Pythagorean Theorem]:                                            8² + 4² = x²
2. Evaluate exponents:                                                                                         64 + 16 = x²
3. Add:                                                                                                                   80 = x²
4. [Equality Property] Square root both sides:                                                    √80 = x
5. Rewrite:                                                                                                             x = √80
6. Simplify:                                                                                                             x = 4√5