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Find the missing side of the triangle

Find the missing side of the triangle-example-1

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1 vote

Answer:

25 in

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

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Trigonometry

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

  • a is a leg
  • b is another leg
  • c is the hypotenuse

Explanation:

Step 1: Identify

Leg a = 24

Leg b = 7 in

Leg c = x

Step 2: Solve for x

  1. Substitute in variables [Pythagorean Theorem]: 24² + 7² = x²
  2. Evaluate exponents: 576 + 49 = x²
  3. Add: 625 = x²
  4. [Equality Property] Square root both sides: 25 = x
  5. Rewrite/Rearrange: x = 25
User Nicola Ferraro
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