Question

In the coordinate plane shown, how far apart are points E and D? Explain how you can use the Pythagorean theorem to determine this.

Answer 1

The answer would be 11.6619037897 because if you make a triangle out of it the sides are 10 and 6 so a^2 + b^2 = c^2 and you get 136 and if you find the square root of that it is 11.6619037897

Answer 2

Point E is located at (-3,5)
Point D is located at (3,-5)
 

using the Pythagorean theorem formula:

Distance = sqrt((x2-x1)^2 + (Yy2-y1)^2)


distance = sqrt ((3- -3)^2 + (-5,5)^2)

distance = sqrt(136)

distance = 2sqrt(34) which is approximately 11.66 units