Question

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

Answer 1

Answer:

The distance from A to B is 7 units.

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:

$AB^{2}= BC^{2}+AC^{2}$

⇒$AB^{2}=3^{2}+1^{2}$

⇒$AB^{2}=9+1$

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).