Respuesta :

Space

Answer:

x = 4√5

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS

Trigonometry

  • Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use Pythagorean Theorem.

a = 19

b = x

c = 21

Step 2: Find x

  1. Substitute:                    19² + x² = 21²
  2. Isolate x term:               x² = 21² - 19²
  3. Evaluate:                       x² = 441 - 361
  4. Subtract:                       x² = 80
  5. Isolate x:                       x = √80
  6. Simplify:                        x = 4√5

And we have our final answer!

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