Question

What is the value of x?

Answer 1

x = 4√5

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS

Trigonometry

• Pythagorean Theorem: a² + b² = c²

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!