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4 votes
Find the distance between the

following points using the
Pythagorean theorem: (5, 10)
and (10, 12)

1 Answer

2 votes

Answer:


\displaystyle d = √(29)

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

Algebra I

  • Coordinates (x, y)

Algebra II

  • Distance Formula:
    \displaystyle d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)

Explanation:

*Note:

The distance formula is derived from the Pythagorean Theorem.

Step 1: Define

Identify

Point (5, 10)

Point (10, 12)

Step 2: Find distance d

  1. Substitute in points [Distance Formula]:
    \displaystyle d = √((10 - 5)^2 + (12 -10)^2)
  2. [√Radical] (Parenthesis) Subtract:
    \displaystyle d = √(5^2 + 2^2)
  3. [√Radical] Evaluate exponents:
    \displaystyle d = √(25 + 4)
  4. [√Radical] Add:
    \displaystyle d = √(29)
User Carron
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