To apply the Pythagorean theorem, we need to find the lengths of the two sides of the right triangle formed by the two points.
The first point, A, has coordinates (2,3). The second point, B, has coordinates (5,5).
The length of the horizontal side of the triangle is the difference between the x-coordinates of the two points.
Distance in x-axis = 5 - 2 = 3
The length of the vertical side of the triangle is the difference between the y-coordinates of the two points.
Distance in y-axis = 5 - 3 = 2
Now, we can apply the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Hypotenuse^2 = (Distance in x-axis)^2 + (Distance in y-axis)^2
Hypotenuse^2 = 3^2 + 2^2
Hypotenuse^2 = 9 + 4
Hypotenuse^2 = 13
To find the length of the hypotenuse, we take the square root of both sides of the equation.
Hypotenuse = √13
Rounding to the nearest hundredth, the length between the two points is approximately 3.61.
Apply the pythagorean theorem to find the length between the two points round your answer to the nearest hundreth B 5,5 A2,3
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