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Morgarella [4.7K]
2 years ago
13

PYTHAGORAS work out the side of b. give your answers to one decimal place

Mathematics
1 answer:
Contact [7]2 years ago
6 0

Answer:

12 cm

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> </u>

<u>Trigonometry</u>

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

  • a is a leg
  • b is another leg
  • c is the hypotenuse<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>a</em> = 12 cm

<em>c</em> = 17 cm

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

  1. Substitute in variables [Pythagorean Theorem]:                                            12² + b² = 17²
  2. Evaluate exponents:                                                                                         144 + b² = 289
  3. [Subtraction Property of Equality] Subtract 144 on both sides:                     b² = 145
  4. [Equality Property] Square root both sides:                                                      b = √145
  5. [√Radical] Evaluate:                                                                                         b = 12.0416
  6. Round:                                                                                                               b ≈ 12.0
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