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Find the third side in simplest radical form:

Find the third side in simplest radical form:-example-1
User JsWizard
by
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1 Answer

2 votes

Answer:

x = √53

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: 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

  1. Set up equation: 6² + x² = (√89)²
  2. Isolate x term: x² = (√89)² - 6²
  3. Exponents: x² = 89 - 36
  4. Subtract: x² = 53
  5. Isolate x: x = √53
User Carter Sande
by
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