What is the distance between #(2,5) # and #(3, 9)#?

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Answer 1 · 2016-08-05T09:22:14

As an exact value #sqrt(17)#

As an approximate value #4.12# to 2 decimal places

Think of this as a triangle where the line from (2,5) to (3,9) is the hypotenuse.

Tony B

Let the length od the line be #L#

Using Pythagoras

#=>L^2=1^2+4^2#

#=>L=sqrt(17)" "# note that 17 is a prime number