Question

Find the distance between points l and m then find the distance between points l and n which distance is greater howmuch

Answer 1

Following are the responses to the given question.

Explanation:

In this question, the points values are missing which is why its solution can be defined as follows:

Let

`l= (7,-1) \\\\m=(-2, 4)\\\\n =(6,5)\\\\`

Formula:

`d=√(((x_2-x_1)^2+(y_2-y_1)^2))`

For d1:

`x_1=7, y_1=-1, x_2=-2, y_2=4\\\\`

`d=√(((-2-7)^2+(4+1)^2))`

`=√(((-2-7)^2+(4+1)^2))\\\\=√(((-9)^2+(5)^2))\\\\=√((81+25))\\\\=√((106))\\\\=10.29`

For d2:

`x_1=7, y_1=-1, x_2=6, y_2=5\\\\`

`d=√(((6-7)^2+(5+1)^2))`

`=√(((-1)^2+(6)^2))\\\\=√((1+36))\\\\=√((37))\\\\=6.08`

The first distance value is greater than the second distance value.