Apply the pythagorean theorem to find the length between 2, 5 and 7, 3 round your answers to the nearest hundreth if necessary
To apply the Pythagorean theorem, we need to find the lengths of the two sides of a right triangle. The length of the hypotenuse can be found by using the formula c = √(a^2 + b^2), where a and b are the lengths of the other two sides.
Given the coordinates (2, 5) and (7, 3), we can calculate the length of the horizontal side (a) and the vertical side (b).
a = 7 - 2 = 5
b = 3 - 5 = -2
Since we squared both sides, the negative sign for b is not relevant in this case.
Now, we can calculate the length of the hypotenuse (c):
c = √(5^2 + (-2)^2)
c = √(25 + 4)
c = √29
Rounding to the nearest hundredth, the length between the points (2, 5) and (7, 3) is approximately 5.39.