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check the slopes of all 3 segments making up the triangle, for RS, ST and TR

it does make a right angle. it just shifted by one. Side ST was sifted to the right that is why T is on (0,5) and SR was shifted down by one also which is why R is (2,3) so it still makes a right triangle

Ok so the slopes are, 1/2, -4, and -1!

yeah..... so I guess is not a right-triangle then :)