Question

Find the length of segment QA when Q(-7,10) and A(3,4).

Answer 1

The length of segment QA when Q(-7,10) and A(3,4) is √136 or 11.66 units

Explanation:

Given points are:

Q(-7,10) and A(3,4)

Here

`(x_1,y_1) = (-7,10)\\(x_2,y_2) =(3,4)`

The distance between two points is the length of the segment formed by those two points. The distance between 2 points is given by:

`d = √((x_2-x_1)^2+(y_2-y_1)^2)`

Putting the values

`d = √((3-(-7))^2+(4-10)^2)\\d = √((3+7)^2+(-6)^2)\\d = √((10)^2+(-6)^2)\\d = √(100+36)\\d = √(136)\\d= 11.66\ units`

Hence,

The length of segment QA when Q(-7,10) and A(3,4) is √136 or 11.66 units