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bulgar [2K]
3 years ago
13

What is the unknown side length

Mathematics
1 answer:
Jobisdone [24]3 years ago
6 0

Answer:

x = 5

General Formulas and Concepts:

<u>Pre-Algebra</u>

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

<u>Trigonometry</u>

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

  • a is a leg
  • b is another leg
  • c is the hypotenuse

Step-by-step explanation:

<u>Step 1: Identify Variables</u>

Leg <em>a</em> = <em>x</em>

Leg <em>b</em> = 12

Hypotenuse <em>c</em> = 13

<u>Step 2: Solve for </u><em><u>x</u></em>

  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
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