Answer:
Step-by-step explanation:
Given:
A(5, -3) and B(6, 0).
So, to find the distance using Pythagorean theorem.
Plot the given points on a graph as shown below.
Now, we construct a right angled triangle ABC such that C is (6,-3)
Now, from the graph, AC = 1 units, BC = 3 unit
Applying Pythagorean theorem on triangle ABC:
[tex]AB^{2}= BC^{2}+AC^{2}[/tex]
⇒[tex]AB^{2}=3^{2}+1^{2}[/tex]
⇒[tex]AB^{2}=9+1[/tex]
using square root both the sides
⇒[tex]AB=10[/tex]
⇒[tex]AB=3.16[/tex].
AB=3.16 units.
Therefore, the distance from A to B is 3 units(approximately).
