What is the distance between #(6,7)# and #(1,3)#?

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Answer 1 · 2016-01-09T02:31:08

Use pythagorean theorem to find the distance between these points.

The horizontal distance is 6 - 1 = 5, and the vertical distance is 7 - 3 = 4

As a result the distance would be the hypotenuse of a right triangle with dimensions of 4 and 5.

#a^2# + #b^2# = #c^2#

#4^2# + #5^2# = #c^2#

16 + 25 = #c^2#

√41 = c

The distance between (6,7) and (1,3) is √41 or 6.40 units.