What is the distance between the points (0,0) and (5,12)?

2 Answers
May 29, 2017

Hypotenuse, which is 13 units.

Explanation:

If your starting point is origin and your dinal x is 5 and your final y is 12, you can compute the distance by

#m=sqrt(x^2+y^2)#

Your m will be

#m=sqrt(5^2+12+2)#

#m=sqrt(169)#

#m=13#

This is the distance. 13 units.

May 29, 2017

This is why the solution provided by G_Ozdilec works

The distance between the two points is 13 units

Explanation:

Basically you use the Pythagoras solution for a right tringle.

Tony B

#"Hypotenuse"=sqrt("adjacent"^2+"opposit"^2)#

#"Hypotenuse"=sqrt((x_2-x_1)^2+(y_2-y_1)^2)#

#"Hypotenuse"=sqrt((5-0)^2+(12-0)^2)#

#"Hypotenuse"=sqrt(25+144)#

#"Hypotenuse"=13#

It is good practice to state the units of measurement. However none are given. So if you wish to declare something just use the word 'units'