Apply the Pythagorean Theorem to find the length between the two points (5, 5) (2, -3). Round your answer to the nearest hundredth, if necessary.
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GPT 3.5
To find the distance between the two points (5, 5) and (2, -3), we need to use the Pythagorean theorem formula.
The distance formula is:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Substitute the given points into the formula:
d = sqrt((2 - 5)^2 + (-3 - 5)^2)
d = sqrt((-3)^2 + (-8)^2)
d = sqrt(9 + 64)
d = sqrt(73)
d ≈ 8.54
Therefore, the distance between the two points is approximately 8.54 units.
The distance formula is:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Substitute the given points into the formula:
d = sqrt((2 - 5)^2 + (-3 - 5)^2)
d = sqrt((-3)^2 + (-8)^2)
d = sqrt(9 + 64)
d = sqrt(73)
d ≈ 8.54
Therefore, the distance between the two points is approximately 8.54 units.
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