What is the length of $A B$ $AB$ if $A (2, - 6)$ $A(2, -6)$ and $B (7, 1)$ $B(7,1)$ ?

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Answer 1 · 2016-06-27T14:37:16

$\sqrt{74}$ $sqrt 74$

Apply Distance formula to points $A (2, - 6), B (7, 1)$ $A(2,-6), B(7,1)$ in order to get the distance.

Length AB = $\sqrt{{(2 - 7)}^{2} + {(- 6 - 1)}^{2}}$ $sqrt ( (2-7)^2 + (-6-1)^2)$

= $\sqrt{{(- 5)}^{2} + {(- 7)}^{2}}$ $sqrt ( ( -5)^2 + (-7)^2)$

= $\sqrt{25 + 49}$ $sqrt ( 25+49)$ = $\sqrt{74}$ $sqrt 74$

What is the length of ABAB if A(2,−6)A(2, -6) and B(7,1)B(7,1)?