General formula to find the sides of right triangle is a² + b² = c² c stands for the hypotenuse
We can assume a stands for the shorter leg and b is the longer leg, the equation will be b = a + 2 a = b - 2
Now input the number to the formula a² + b² = c² (b-2)² + b² = 8² b² - 4b + 4 + b² = 64 2b² - 4b + 4 - 64 = 0 2b² - 4b - 60 = 0 b² - 2b - 30 = 0
Work the equation by completing the square b² - 2b - 30 = 0 b² - 2b = 30 b² - 2b + 1 = 30 + 1 (b + 1)² = 31 b + 1 = √31 b = -1 + √31 b = -1 + 5.5678 b = 4.5678 b = 4.6 The longer leg is approximately 4.6
