Which coordinates of a point is exactly 5 away from the point (7, 7) and forms a diagonal segment with that point?

Question

anonymous · Answer

I fell stupid but i just can't get this question no matter how many times someone go's over

anonymous · Answer

^

dumbcow · Answer

(3,4)

using distance formula
$$d = \sqrt{(7-3)^{2}+(7-4)^{2}} = \sqrt{4^{2}+3^{2}} = \sqrt{16+9} = \sqrt{25} = 5$$

anonymous · Answer

(12, 7)
(7, 12)
(10, 11)
(12, 12)


No (3,4)

dumbcow · Answer

haha, oh well
really there are an infinite number of points 5 away from (7,7)

plug in each given point into distance formula and see if its 5

anonymous · Answer

ok

dumbcow · Answer

it can't be the first 2 answers (12,7) or (7,12) because they would form vertical or horizontal lines  instead of a diagonal line

anonymous · Answer

So (7,12)

anonymous · Answer

ops you posted above my bad