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What is the distance from the point (-5,4) to the origin ?
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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.
Posted by giorgiana1976 on April 17, 2011 at 8:25 PM (Answer #1)
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