Check if a right-angled triangle can be formed by moving any one of the coordinates
Given three coordinates of a triangle (x1, y1), (x2, y2), (x3, y3). The task is to find out if the triangle can be transformed to a right-angled triangle by moving only one point exactly by the distance 1.
If it is possible to make the triangle right-angled, then print “POSSIBLE”, else print “NOT POSSIBLE”.
If the triangle is already right-angled, it should also be reported.
x1 = -1, y1 = 0
x2 = 2, y2 = 0
x3 = 0, y3 = 1
First co-ordinate (-1, 0) can be changed to (0, 0) and make it right-angled.
x1 = 36, y1 = 1
x2 = -17, y2 = -54
x3 = -19, y3 = 55
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As it is known that for a triangle of sides a, b and c, the triangle will be right-angled if the following equation holds true : a2 + b2 = c2
So for every co-ordinates of the triangle, find out all the sides and for the 3 possible permutations of them check if it is already right-angle triangle and report it.
If the above condition doesn’t hold true, then the following operations need to be done-
We need to change all the co-ordinates by 1 one by one and check that is it a valid combination for a right-angled triangle.
Look that there can be 4 possible combinations to change every co-ordinates by 1. They are (-1, 0), (0, 1), (1, 0), (0, -1). So run a loop and apply those changes one by one for every co-ordinates and check that the formula a2 + b2 = c2 is true or not.
If it’s true then it is possible to transform the triangle to a right-angled triangle, otherwise not.
Below is the implementation of the above code: