Answer:
(See explanation for further details)
Step-by-step explanation:
Classification based on sides:
Equilateral - Three sides with same length.
Isosceles - Two sides with same length.
Scalene - No sides with same length.
Classification based on sides:
Acute-Angled - All angles are acute. [tex](0^{\circ} < \theta < 90^{\circ}, 0^{\circ} < \alpha < 90^{\circ}, 0^{\circ} < \beta < 90^{\circ}, \theta + \alpha + \beta = 180^{\circ})[/tex]
Right-Angled - One angle is right. [tex](0^{\circ} < \theta < 90^{\circ};\alpha = 90^{\circ}, 0^{\circ} < \beta < 90^{\circ}, \theta + \alpha + \beta = 180^{\circ})[/tex]
Obtuse-Angled - One angle is obtuse. [tex](0^{\circ} < \theta < 90^{\circ},90^{\circ}<\alpha < 180^{\circ}, 0^{\circ} < \beta < 90^{\circ}, \theta + \alpha + \beta = 180^{\circ})[/tex]
