To apply the Pythagorean Theorem, we need to find the length of the hypotenuse of a right triangle formed by the two given points.
The horizontal distance between the two points is given by the difference in their x-coordinates, which is 4 - (-2) = 6.
The vertical distance between the two points is given by the difference in their y-coordinates, which is 2 - (-1) = 3.
Using these distances, we can form the right triangle as follows:
The horizontal distance is the length of one side of the triangle, let's call it a.
The vertical distance is the length of the other side of the triangle, let's call it b.
The hypotenuse is the length we are trying to find, let's call it c.
Applying the Pythagorean Theorem, we have:
c^2 = a^2 + b^2
Plugging in the values we found:
c^2 = 6^2 + 3^2
c^2 = 36 + 9
c^2 = 45
Taking the square root of both sides to solve for c:
c = √45
Rounding this to the nearest hundredth, we have:
c ≈ 6.71
Therefore, the correct answer is not listed among the given options.
Apply the Pythagorean Theorem to find the length between the two points (-2,-1) (4, 2). Round your answer to the nearest hundredth, if necessary
Respsones
1) 5.57
2) 41
3) 6.40
4) 9
1 answer
1 answer