Respuesta :

Answer:

the answer is B. The square root of 45.

Step-by-step explanation:

use the pythagorean theorem.

1. Find the side lengths of A  and B, since you're trying to find the hypotenuse.

2. [tex]A^{2} + b^{2} =c^{2} \\3^{2} +6^{2} =c^{2} \\9+36=c^{2} \\45=c^{2} \\c=\sqrt{45}[/tex]

The distance between point A and point B is √45.

What is the Pythagorean theorem?

The Pythagorean theorem states that the sum of the squares of the sides of a right-angled triangle is the square of the length of the hypotenuse.

The distance between A and B can be found as follows:

We can draw a horizontal line parallel to the x-axis through point A. Now draw a vertical line parallel to the y-axis and intersects the horizontal line. Now join A and B.

The resultant triangle is a right-angled triangle.

We can use the Pythagorean theorem:

AB² = (5 - 2)² + (9 - 3)²

= 3² + 6²

= 9 + 36

= 45

AB = √45

Therefore, we have found that the distance between point A and point B is √45.

Learn more about the Pythagorean theorem here: https://brainly.com/question/343682

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