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Answered

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

1 Find The Missing Side Give Your Answer In Simplest Radical Form class=

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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
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