Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points in simplest radical form.
left bracket, 3, comma, 6, right bracket, and , left bracket, 5, comma, 1, right bracket
(3,6) and (5,1)
First, let's graph the right triangle using the two points provided:
Point A is (3,6) and point B is (5,1).
The hypotenuse of the right triangle will be the line connecting points A and B.
Now, let's find the length of the two shorter sides of the right triangle.
The length of side AB can be found using the distance formula:
AB = sqrt[(5-3)^2 + (1-6)^2]
AB = sqrt[2^2 + (-5)^2]
AB = sqrt[4 + 25]
AB = sqrt[29]
Therefore, the distance between the two points in simplest radical form is sqrt(29).