What is the distance between point A and point B?
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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.
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.
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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