Question

answer
equilateral
scalene acute
scalene obtuse
isosceles obtuse
isosceles right
isosceles acute
scalene right

Explanation:

Step1: Check side - length equality

All side - lengths are 7.69, i.e., \(BD = BC=CD = 7.69\).

Step2: Check angle measures

All angles are \(60^{\circ}\), and \(60^{\circ}<90^{\circ}\) (acute).

Answer:

Equilateral