Points AAA, B B\,B and C C\,C form a triangle. AB=13AB=13AB=13 cm, AC=15AC=15AC=15 cm and ∠BAC=60∘\angle BAC=60^\circ∠BAC=60∘. A point D D\,D lies on AC AC\,AC with CD=4CD=4CD=4 cm. Find BD BD\,BD to 3 significant figures.