Question

Use the Pythagorean theorem to find the distance from A(5, -3) to B(6, 0).

Answer 1

The distance from A to B is 7 units.

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:

`AB^(2)= BC^(2)+AC^(2)`

⇒
`AB^(2)=3^(2)+1^(2)`

⇒
`AB^(2)=9+1`

using square root both the sides

⇒
`AB=10`

⇒
`AB=3.16`.

AB=3.16 units.

Therefore, the distance from A to B is 3 units(approximately).