How do you find the distance between (6,-12) and (12,8)?

2 Answers
May 8, 2017

Answer:

#sqrt436~~20.88" to 2 dec. places"#

Explanation:

#"to calculate the distance use the "color(blue)"distance formula"#

#color(red)(bar(ul(|color(white)(2/2)color(black)(d=sqrt((x_2-x_1)^2+(y_2-y_1)^2))color(white)(2/2)|)))#
where # (x_1,y_1),(x_2,y_2)" are 2 coordinate points"#

#"the 2 points here are " (6,-12)" and " (12,8)#

#"let " (x_1,y_1)=(6,-12)" and " (x_2,y_2)=(12,8)#

#d=sqrt((12-6)^2+(8-(-12))^2)#

#color(white)(d)=sqrt(6^2+20^2)#

#color(white)(d)=sqrt436~~20.88" to 2 decimal places"#

Answer:

# 2sqrt 109 ~=20.88#

Explanation:

Use the formula #sqrt((y_2-y_1)^2+(x_2-x_1)^2)#

#y_1 = 8#
#y_2 = -12#
#x_1 = 12#
#x_2 = 6#

# = sqrt((8--12)^2+(12-6)^2)#

#= 2sqrt 109 ~=20.88#