Question

assume I can see it's a right triangle and giving the condition c equal 2 b equal 45 ,solve for the side lengths of the right triangle

Answer 1

I'll assume you mean the hypotenuse c=2 and vertex B=45 degrees.

That's the isosceles right triangle, sides in ratio $1 : 1 : \sqrt 2$

So we get

$\dfrac{a}{1} = \dfrac{b}{1} = \dfrac{c}{\sqrt{2}} = \dfrac{2}{\sqrt{2}}= \sqrt{2}$

Answer: a=b=√2