What is the distance d between points a and b, where point a (3, 4) and b (1, 2)

Solution:

We will use the distance formula in order to find the distance between points a and b.

The distance between any two points A(a, b) and B(c, d) is given by,

d = √ [(a - c)² + (b - d)²]

By substituting the points A(3, 4) and B(1, 2) in the above formula we get our required distance d.

⇒ √ [(3 - 1)² + (4 - 2)²]

⇒ √ [2² + 2²]

⇒ √8 = 2√2 units

Hence, distance d = 2√2 units.

What is the distance d between points a and b, where point a (3, 4) and b (1, 2)

Summary:

The distance d between points A and B is 2√2 units.