The required set of coordinates with the match is shown.
Distance between points can be evaluated from the distance formula,
(3, 4) and (2, 1)
= √[(3-2)² + (4-1)²]
= √ 10
Similarly,
The points whose distance between them is √10 are,
(3, 4) and (2, 1)
(-2, 3) and (1, 2)
(-4, -2) and (-3, 1)
The points whose distance between them is √29 are,
(3, 7) and (5, 2)
(5,-2) and (3, 3)
(4, -1) and (-1, 1)
Thus, the required set of coordinates with the match is shown.
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