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y = 3a + 2
z = 3a + 4
z² = x² + y²
⇔ (3a + 4)² = (a + 4)² + (3a + 2)²
⇔ 9a² + 24a + 16 = a² + 8a + 16 + 9a² + 12a + 4
⇔ 9a² + 24a + 16 = 10a² + 20a + 20
⇔ a² - 4a + 4 = 0
⇔ (a - 2)² = 0
⇔ a - 2 = 0
⇔ a = 2