Question

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.
(7,8) and (-1,-1)

Answer 1

In the given question endpoints of the line (Hypotenuse) have been given and we have to find the length of the hypotenuse.

Distance between the two points
`(x_1,y_1)` and
`(x_2,y_2)` is given by the expression,

Distance =
`√((x_2-x_1)^2+(y_2-y_1)^2)`

Distance between two points (7, 8) and (-1, -1) will be,

Distance =
`√((7+1)^2+(8+1)^2)`

=
`√(64+81)`

=
`√(145)`

And the right triangle with the hypotenuse formed by the line joining two points (7, 8) and (-1, -1) will be as given in the figure attached.