Find the distance between these two points using the Pythagorean Theorem.
Which choice is correct?
(1 point)
sqrt(6 ^ 2) + 3 ^ 2 = sqrt(25)
sqrt(6 ^ 2 + 10 ^ 2) = sqrt(136)
5 ^ 2 + 7 ^ 2 = sqrt(136)
sqrt(3 ^ 2) - 5 ^ 2 = sqrt(20)
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the two points are represented by coordinates (6,3) and (10,7).
The distance between these two points can be found using the formula √[(x2 - x1)^2 + (y2 - y1)^2]
√[(10 - 6)^2 + (7 - 3)^2]
√[4^2 + 4^2]
√[16 + 16]
√32
Therefore, the correct choice is sqrt(32).