Homework Help

What is the distance from the point (-5,4) to the origin ?

user profile pic

colorcolour | Student, College Freshman | eNoter

Posted April 17, 2011 at 8:14 PM via web

dislike 1 like

What is the distance from the point (-5,4) to the origin ?

1 Answer | Add Yours

user profile pic

giorgiana1976 | College Teacher | Valedictorian

Posted April 17, 2011 at 8:25 PM (Answer #1)

dislike 0 like

We'll create a right angle triangle, whose hypotenuse is the distance from origin to the point and one cathetus is its abscisa and the other cathetus is the ordinate.

We'll note the distance as d:

We'll note the abscisa as x:

x = -5 units

x^2 = 25 square units

We'll note the ordinate as y:

y = 4 units

y^2 = 16 units

We'll calculate d using Pythagorean Theorem:

d^2 = x^2 + y^2

d^2 = 25 + 16

d^2 = 41

d = sqrt 41

We'll reject the negative value since the distance is always positive

The distance from the point (-5,4), to the origin is: d = 6.4031 units approx.

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes