Answer:
BD = 12.1 (nearest tenth)
Explanation:
∆ABC is an isosceles triangle, since it has two equal sides, AB and BC. Also, this means that <BAD and <BCD = 60° each.
BD divides ∆ABC into two equal parts.
Apply trigonometric ratio to find BD.
Reference angle = <BAD = 60°
Adjacent = AD = 7
Opposite = BD
Thus, we would have:
tan 60 = opp/adj
Tan 60 = BD/7
7*Tan 60 = BD
12.1 = BD
BD = 12.1 (nearest tenth)