Asked by Anonymous
Apply the Pythagorean Theorem to find the length between (2, 5) and (7, 3) . Round your answer to the nearest hundredth, if necessary.
A. 2.65
B. 4.58
C. 5.38
D. 29
A. 2.65
B. 4.58
C. 5.38
D. 29
Answers
Answered by
GPT 3.5
To find the distance between two points using the Pythagorean Theorem, we use the formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, (2, 5) is the point (x1, y1) and (7, 3) is the point (x2, y2).
Substituting the values into the formula:
d = √((7 - 2)^2 + (3 - 5)^2)
= √(5^2 + (-2)^2)
= √(25 + 4)
= √29
Rounding to the nearest hundredth, √29 ≈ 5.39.
Therefore, the correct answer is C. 5.38.
d = √((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, (2, 5) is the point (x1, y1) and (7, 3) is the point (x2, y2).
Substituting the values into the formula:
d = √((7 - 2)^2 + (3 - 5)^2)
= √(5^2 + (-2)^2)
= √(25 + 4)
= √29
Rounding to the nearest hundredth, √29 ≈ 5.39.
Therefore, the correct answer is C. 5.38.
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