Find the third side in simplest radical form

Work Shown:

We see that one of the legs is unknown. We'll call this 'a'.

The other leg is b = 2, which becomes b^2 = 4

The hypotenuse (always opposite the 90 degree angle) is c = sqrt(58). This turns into c^2 = 58 when you square both sides.

Use the pythagorean theorem to get

a^2+b^2 = c^2

a^2+4 = 58

a^2 = 58-4

a^2 = 54

a = sqrt(54)

a = sqrt(9*6)

a = sqrt(9)*sqrt(6)

a = 3*sqrt(6)

10 * 563.67 = 5636.7

the answer is (4,3)

since the rule for r0, 90º is (-y,x) and it was already applied to form the image, all you have to do is reverse the answer using this formula.