Question

Find the distance between the point (a,0) and(0,a).

Answer 1

Answer:

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Answer 2

Answer:

$\sqrt{2a {}^{2} }$

Step-by-step explanation:

$distance = \sqrt {(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{(0 - a {) }^{2} + (a - 0) {}^{2} } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{a {}^{2} + a {}^{2} } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2a {}^{2} }$