The ratio in which (4,5) divides divides the join of (2,3) and (7,8) is :

1:3
3:2
-3:2
-2:3
3:1
2:3

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$\sqrt{2^{2} + 2^{2}} = \sqrt{8} = \sqrt{4 \times 2} = 2\sqrt{2}$

$\sqrt{3^{2} + 3^{2}} = \sqrt{18} = \sqrt{9 \times 2} = 3\sqrt{2}$

$2\sqrt{2} : 3\sqrt{2}$

$\boxed{2 : 3}$