Respuesta :

Space

Answer:

AB = 2√137

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 = 22 cm

b = 8 cm

Step 2: Solve for c

  1. Substitute in variables [Pythagorean Theorem]:                                            (22 cm)² + (8 cm)² = c²
  2. Evaluate exponents:                                                                                        484 cm² + 64 cm² = c²
  3. Add:                                                                                                                   548 cm² = c²
  4. [Equality Property] Square root both sides:                                                   2√137 cm = c
  5. Rewrite:                                                                                                             AB = 2√137
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Answer:

AB= 2√137 cm

Step-by-step explanation:

because we have a right triangle we apply the Pythagorean theorem

hypothenuse² = side² + side²

AB² = BC² + AC², substitute the given sides BC=8 and AC=22

AB² = 8² + 22² , square the numbers and apply the square root to both side

AB = √(64 + 484), add the numbers

AB = √548, simplify the square root

AB= 2√137 cm

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