Question

Your friend calculates the distance between points​ Q(1,5) and​ R(3,8), as shown below. What is his​ error?

Answer 1

The distance between two points is the number of units between them.

The distance between Q and R is 3.61 units

It is impossible to determine your friend's error, because the steps are not given in the question. So, I will calculate the distance between Q and R, instead.

The distance (d) between two points is:

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

So, the distance QR is:

$QR = \sqrt{(1 - 3)^2 + (5 - 8)^2}$

$QR = \sqrt{(- 2)^2 + (- 3)^2}$

Evaluate exponents

$QR = \sqrt{4 +9}$

$QR = \sqrt{13}$

Take square root of 13

$QR = 3.61$

Hence, the distance between Q and R is 3.61 units

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