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Show pythagorean equality

Source: XIII Polish Junior MO 2018 First Round - Problem 1

April 24, 2018
algebrasystem of equationsPythagorean TriplePoland

Problem Statement

Numbers a,b,ca, b, c are such that 3a+4b=3c3a + 4b = 3c and 4aāˆ’3b=4c4a - 3b = 4c. Show that a2+b2=c2a^2 + b^2 = c^2.
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