Two questions, preferrably with worked-out solutions / proofs.
In an isosceles triangle with a 30° vertex angle, the perpendicular bisector of one leg divides the other leg into the ratio k : 2. If k ≥ 2, find k.
In a triangle ABC, m<ABC = m<ACB = 72°. Find the ratio AB : AC, and express it as a decimal accurate to three decimal places.
I SHOULD know how to do these, but I don't.
