What is the distance between #(15,24)# and #(42,4)#?

1 Answer
Nov 23, 2015

Answer:

The distance between #(15, 24)# and #(42, 4)# is approximately #33.6# units.

Explanation:

The formula for the distance between #2# points is:

#d=sqrt(((x_"2"-x_"1")^2+(y_"2"-y_"1")^2))#

#1^(st)# point: #(x_"1",y_"1")# = #(15, 24)#
#2^(nd)# point: #(x_"2",y_"2")# = #(42, 4)#

Substitute the points into the distance formula:

#d=sqrt(((x_"2"-x_"1")^2+(y_"2"-y_"1")^2))#
#d=sqrt(((42)-(15))^2+((4)-(24))^2)#
#d=sqrt((27)^2+(-20)^2)#
#d=sqrt((729)+(400)#
#d=sqrt(1129)#
#d~~33.6#