Question

Find the third side in simplest radical form:

Answer 1

x = √143

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

Trigonometry

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

Explanation:

Step 1: Identify

We are given a right triangle

Step 2: Define variables

Leg a = 1

Leg b = x

Hypotenuse c = 12

Step 3: Solve for x

1. Substitute: 1² + x² = 12²
2. Isolate x term: x² = 12² - 1²
3. Exponents: x² = 144 - 1
4. Subtract: x² = 143
5. Isolate x: x = √143