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

Answer:

Step-by-step explanation:

distance between (x1,y1) and (x2,y2) is

so the distance between (7,8) and (1,-17) is

D=√261

D=3√29

the exact distance is 3√29 units

Answer 2

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 = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

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

Distance = $\sqrt{(7+1)^2+(8+1)^2}$

               = $\sqrt{64+81}$

               = $\sqrt{145}$

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.