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What is the length of the missing leg?

What Is The Length Of The Missing Leg class=

Sagot :

Spaceidn

Answer:

a = 6

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

Identify variables

a = a

b = 8

c = 10

Step 2: Solve for a

  1. Substitute in variables [Pythagorean Theorem]:                                            a² + 8² = 10²
  2. Evaluate exponents:                                                                                         a² + 64 = 100
  3. [Subtraction Property of Equality] Subtract 64 on both sides:                      a² = 36
  4. [Equality Property] Square root both sides:                                                    a = 6
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