Question

find the distance between the two points
G(3,0), H(8,10)

Answer 1

d = sqrt((x2-x1)^2+(y2-y1)^2)



d = sqrt((8-3)^2+(10-0)^2)



d = sqrt((5)^2+(10)^2)



d = sqrt(25+100)



d = sqrt(125)



d = 5*sqrt(5)



So exact distance between the two points is 5*sqrt(5) units.

Answer 2

from 3 to 8 is 5 to the right, from 0 to 10 is 10 up so you get
\[d^2=5^2+10^2=125\] and so
\[d=\sqrt{125}\]

Answer 3

same as jimthompson answer with distance formula.