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.

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