What is the distance between the points (10,2) and (14,5)?

2 Answers
SCooke
Dec 1, 2016

5

Explanation:

The distance between the final point locations can be calculated from the “distance formula” for Cartesian Coordinate systems:
d= #sqrt ((x_2-x_1)^2+(y_2-y_1)^2)#

d= #sqrt ((10 - 14)^2+(2 - 5)^2)# ; d= #sqrt ((-4)^2+(-3)^2)#
d= #sqrt ((16+9)#
d= #sqrt ((25)# = 5

Veddesh #phi#
Dec 1, 2016

#5#

Explanation:

To find the distance between any two point, we use the distance formula

#color(blue)("Distance"=sqrt((x_2-x_1)^2+(y_2-y_1)^2)#

We know that

#color(orange)((10,2)=(x_1,y_1)#

#color(orange)((14,5)=(x_2,y_2)#

So the distance will be

#rarrsqrt(color(black)((14-10)^2+(5-2)^2)#

#rarrsqrt(color(black)((4)^2+(3)^2)#

#rarrsqrt(color(white)(barcolor(black)(16+9)))#

#rarrsqrtcolor(white)(barcolor(black)(25))#

#color(green)(rArr5#

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