The relationship between the sides of 45 degree right triangle

1:1:2

If the length of the hypotenuse of a right triangle is root 5 and the area is 1, then the sum of the two right sides of the right triangle is

Let the lengths of two right angles be a and B respectively
The following equations can be listed:
a^2+b^2 = 5
ab = 2
∵ (a+b)^2 = a^2+b^2+2ab = 5+4 =9
∴ a+b = 3

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