Question

Find the distance between the points.(7,10) and (7,4)

Answer 1

We are given two points : (7, 10) and (7, 4)

We are required to find the distance between the two points

First, let us label the point (7, 10) as A and (7,4) as B.

The formula for the distance (d) between points A and B is given as :

`d\text{ = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

where (x1, y1) and (x2, y2) represents the points A and B

By substituting the given points, we have:

`\begin{gathered} d\text{ = }\sqrt[]{(7-7)^2+(4-10)^2} \\ =\text{ }\sqrt[]{0+(-6)^2} \\ =\text{ }\sqrt[]{36} \\ =\text{ 6} \end{gathered}`

Hence, the distance between the points (7, 10) and (7,4) is 6

Answer : 6