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Find the distance between the two points in simplest radical form.

Find the distance between the two points in simplest radical form.-example-1
User Abdulqadir
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1 Answer

3 votes

Answer:

5×sqrt(2)

Explanation:

point 1 = (3,9)

point 2 = (9,5)

to calculate the distance we use Pythagoras based on the coordination differences in x- and y-direction as the sides of a triangle (the direct distance being the Hypotenuse of that triangle).

distance² = (x-difference)² + (y-difference)²

as all arguments are squared, we don't need to worry, if we need to calculate the difference from point 1 to 2 or from point 2 to 1. also negative numbers turn into positive distances.

d² = (xd)² + (yd)² = (9-3)² + (5-9)² = 6² + (-4)² = 36+16 = 50

=>

d = sqrt(50) = sqrt(25×2) = 5×sqrt(2)

User George Petrov
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