Question

Geometry math question no Guessing and Please show work

Answer 1

Answer :

The required distance between the points (6, -4) and (0, 5) is

$\sqrt{ {(6 - 0)}^{2} + {( - 4 - 5)}^{2} } \\ \\ = \sqrt{ {6}^{2} + {( - 9)}^{2} } \\ \\ = \sqrt{36 + 81} \\ \\ = \sqrt{117} \\ \\ = \sqrt{ {3}^{2} \times 13} \\ \\ = \bold {3 \sqrt{13} }$

Therefore, option (A) is correct

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