To find the length between the two given points using the Pythagorean Theorem, we can use the formula:
c^2 = a^2 + b^2
where c is the length we are trying to find, and a and b are the differences in x and y coordinates respectively.
In this case, the coordinates of the first point are (2, 5) and the coordinates of the second point are (7, 3).
a = 7 - 2 = 5
b = 3 - 5 = -2 (taking the absolute value since distance cannot be negative)
Now, we can substitute the values into the formula:
c^2 = 5^2 + (-2)^2
c^2 = 25 + 4
c^2 = 29
Taking the square root of both sides, we find:
c = √29
Rounding to the nearest hundredth, c ≈ 5.39.
Therefore, the correct answer is 5.39.
Apply the Pythagorean Theorem to find the length between (2, 5) and (7, 3). Round your answer to the nearest hundredth, if necessary.
Responses
2.65
5.39
4.58
29
1 answer