P.o.t.W. #20 Solution
In order for the lengths of \(a , \(b and 1 to form a triangle it must be true that \(a + b > 1 . If it’s true that \(a + b > 1 , then what condition must \(a and \(b satisfy so that \(a , \(b and 1 are the three sides of an obtuse triangle? Applying the cosine rule: \({1^2} = {a^2} + {b^2} - 2ab\cos C , where \(C is the angle between sides \(a and \(b . For the triangle to be obtuse then angle \(C must be obtuse and...