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15, since 15*2 = 9*2 + 12*2
x=4 y=1
A Pythagorean triple is a group of three whole number which can be the sides of a right angled triangle, eg: (3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17), (9, 40, 41), (11, 60, 61), (12, 35, 37), (13, 84, 85), (16, 63, 65), (20, 21, 29), (28, 45, 53), (33, 56, 65), (36, 77, 85), (39, 80, 89), (48, 55, 73), (65, 72, 97)
Since the numerator of the fraction is prime, you know that the fraction 13/15 is in its simplest form.
Yes