Question

answer
equilateral
isosceles obtuse
isosceles acute
scalene obtuse
scalene acute
scalene right
isosceles right
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Explanation:

Step1: Check side lengths

All side lengths \(DC = 4.6\), \(BC=5.49\), \(BD = 7.85\) are different. So it is not equilateral or isosceles.

Step2: Check angles

One angle \(\angle C=102^{\circ}>90^{\circ}\), so it is obtuse.

Answer:

Scalene Obtuse