Find the third side in simplest radical form:

x = √53

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

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

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use PT to solve for the missing length.

Step 2: Identify Variables

Leg a = 6

Leg b = x

Hypotenuse c = √89

Step 3: Solve for x

Set up equation:                    6² + x² = (√89)²Isolate x term:                        x² = (√89)² - 6²Exponents:                             x² = 89 - 36Subtract:                                 x² = 53Isolate x:                                 x = √53