Basically, this problem calls the SSA idea into question. While it is possible, it forms a very special kind of triangle. Let's start with an angle (∠*A*) and a known side (*AB*). If we include another known length from point *B* down toward our base, we'd be able to orient that segment in two different ways. That would give two possibilities for ∆*ABC* (with an isosceles triangle contained inside it). See the isosceles triangle? The only way we wouldn't be able to draw that isosceles triangle is if the length of *BC* was so short that it only touches the horizontal line in one place. That would form a very specific kind of triangle: a right triangle. |