Question

Find distance between 2 points A(-1,-7), B(-8,7)

Answer 1

To calculate the length between A and B you have to draw them in the cartesian system and link them with a line, then using that line as hypothenuse, draw a right triangle, whose base will be paralel to the x-axis and its height will be paralel to the y-axis.

Using the coordinates calculate the length of the base and height of the triangle:

Base= XA-XB= (-1)-(-8)=7

Height= YB-YA=7-(-7)=14

Now you have to apply pythagoras theorem you can calculate the length of the hypotenuse:

`\begin{gathered} a^2+b^2=c^2 \\ c^2=7^2+14^2 \\ c^2=245 \\ c=√(245)=15.65 \end{gathered}`

The distance between poins A and B is 15.65