Find the lengths of the missing sides if side a is opposite angle A side b is opposite angle B and side c is the hypotenuse. tan(A) 100 b 100?

Given that ( \tan(A) = \frac{b}{a} ) and ( b = 100 ), we can express ( a ) as ( a = \frac{b}{\tan(A)} = \frac{100}{\tan(A)} ). To find the hypotenuse ( c ), we can use the Pythagorean theorem: ( c = \sqrt{a^2 + b^2} ). Thus, ( c = \sqrt{\left(\frac{100}{\tan(A)}\right)^2 + 100^2} ).