Question

What is the formula for distance?

Answer 1

Formula:

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Answer 2

DISTANCE

The formula in finding the distance between two points is given below:

• 
  `\boxed{\bold{\:\:d = √((x_2 - x_1)^2 + (y_2 - y_1)^2) \:\:}}`

Now, you know the distance formula. So, let us try solving a sample problem using the distance formula.

Sample problem: Determine the distance between P(3, 2) and Q(10, 2).

From inspection on the given problem:

• (x_1, y_1) = (3, 2)
• (x_2, y_2) = (10, 2)

Substitute the given values into the distance formula and solve for PQ:

• 
  `\sf PQ = √((x_2 - x_1)^2 + (y_2 - y_1)^2)`

• 
  `\sf PQ = √((10 - 3)^2 + (2 - 2)^2)`

• 
  `\sf PQ = √((7)^2 + (0)^2)`

• 
  `\sf PQ = √(49 + 0)`

• 
  `\sf PQ = √(49)`

• 
  `\bold{PQ = 7 \: units}`

Therefore, the distance between two points is 7 units.

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Now, wasn't that easy? Try this other sample problem:

• Find the distance between P(1, 3) and Q(7, 11).

From the sample problem above, you may solve it on your own to enhance your skill on calculating the distance.

Cheers!