Make a the subjects when a^2 + b^2=c^2

a = √[ (c - b) (c + b) ]

Step-by-step explanation:

a^2 + b^2 = c^2

We can make "a" the subject by doing the following:

a^2 + b^2 = c^2

Subtract b^2 from both side:

a^2 = c^2 - b^2

Take the square root of both side

a = √ (c^2 - b^2)

Since we have difference of two squares, we can simplify further as:

a = √[ (c - b) (c + b) ]