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

1 Answer

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giorgiana1976 | College Teacher | (Level 3) Valedictorian

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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.